Search Result

65 Record(s) found!

JEE-Main - Grade 12 - Mathematics - Integrals - Introduction and Snapshot of Integrals - Study ref# 917

Introduction Differential Calculus is centered on the concept of the derivative. The original motivation for the derivative was the problem of defining tangent lines to the graphs of functions and calculating the slope of such lines. Inte... read more

JEE-Main - Grade 12 - Mathematics - Integrals - Introduction and Snapshot of Integrals - Study ref# 918

Following sections must be covered to understand the Integrals: 1. Integration as an Inverse Process of Differentiation 2. Methods of Integration 3. Integrals of Some Particular Functions 4. Integration by Partial Fractions 5.... read more

JEE-Main - Grade 12 - Mathematics - Integrals - Target Setup for Integrals - Study ref# 919

Student requires to achieve the following milestones to get better grip over Integrals. The milestones / targets are as follows: Starting Point: Days 0Test TypeAppear on TestTarget TestsScorePractice Test000%Chapter Test000%Subje... read more

JEE-Main - Grade 12 - Mathematics - Inverse Trigonometric Functions - Introduction and Snapshot of Inverse Trigonometric Functions - Study ref# 902

Introduction In this chapter, we shall study about the restrictions on domains and ranges of trigonometric functions which ensure the existence of their inverse and observe their behavior through graphical representations. Besides, some e... read more

JEE-Main - Grade 12 - Mathematics - Application of Integrals - Introduction and Snapshot of Application of Integrals - Study ref# 920

Introduction In geometry, we have learnt formulae to calculate areas of various geometrical figures including triangles, rectangles, trapezias and circles. Such formulae are fundamental in the applications of mathematics to many real life... read more

JEE-Main - Grade 12 - Mathematics - Application of Integrals - Introduction and Snapshot of Application of Integrals - Study ref# 921

Following sections must be covered to understand the Application of Integrals: 1. Area under Simple Curves 2. Area between Two Curves... read more

JEE-Main - Grade 12 - Mathematics - Application of Integrals - Target Setup for Application of Integrals - Study ref# 922

Student requires to achieve the following milestones to get better grip over Application of Integrals. The milestones / targets are as follows: Starting Point: Days 0Test TypeAppear on TestTarget TestsScorePractice Test000%Chapte... read more

JEE-Main - Grade 12 - Mathematics - Integrals - Study ref# 9490

Find an anti-derivative of the following function by the method of inspection.   Answer: Let  ... read more

JEE-Main - Grade 12 - Mathematics - Integrals - Study ref# 9491

Find an anti-derivative of the following function by the method of inspection.   Answer: Let I =  ... read more

JEE-Main - Grade 12 - Mathematics - Integrals - Study ref# 9492

Find an anti-derivative of the following function by the method of inspection.   Answer: Let               read more

JEE-Main - Grade 12 - Mathematics - Integrals - Study ref# 9493

Find the following integral:   Answer: Let I = = .... read more

JEE-Main - Grade 12 - Mathematics - Integrals - Study ref# 9494

Find the following integrals:   Answer: Let                            read more

JEE-Main - Grade 12 - Mathematics - Integrals - Study ref# 9495

Find the following integrals:   Answer: Let I =                     read more

JEE-Main - Grade 12 - Mathematics - Integrals - Study ref# 9496

Find the following integrals:   Answer: Let                    read more

JEE-Main - Grade 12 - Mathematics - Integrals - Study ref# 9497

Find the following integrals:   Answer: Let          ... read more

JEE-Main - Grade 12 - Mathematics - Integrals - Study ref# 9498

Find the following integrals:   Answer: Let      ... read more

JEE-Main - Grade 12 - Mathematics - Integrals - Study ref# 9499

Integrate the function :   Answer: Let                                            Put read more

JEE-Main - Grade 12 - Mathematics - Integrals - Study ref# 9500

Integrate the function :   Answer: Let              Put read more

JEE-Main - Grade 12 - Mathematics - Integrals - Study ref# 9501

Integrate the function :   Answer: Let   Put   read more

JEE-Main - Grade 12 - Mathematics - Integrals - Study ref# 9502

Integrate the function :     Answer: Let             Put read more

JEE-Main - Grade 12 - Mathematics - Integrals - Study ref# 9503

Integrate the function :   Answer: Let   Put   read more

JEE-Main - Grade 12 - Mathematics - Integrals - Study ref# 9504

Integrate the function :   Answer: Let               Put read more

JEE-Main - Grade 12 - Mathematics - Integrals - Study ref# 9505

Integrate the function :   Answer: Let   Put   read more

JEE-Main - Grade 12 - Mathematics - Integrals - Study ref# 9506

Find the integral of the function:   Answer: Let     read more

JEE-Main - Grade 12 - Mathematics - Integrals - Study ref# 9507

Find the integral of the function:   Answer: Let   =  read more

JEE-Main - Grade 12 - Mathematics - Integrals - Study ref# 9508

Find the integral of the function:   Answer: Let      read more

JEE-Main - Grade 12 - Mathematics - Integrals - Study ref# 9509

Find the integral of the function:   Answer: Let     read more

JEE-Main - Grade 12 - Mathematics - Integrals - Study ref# 9510

Integrate the function:   Answer: Let   Put   read more

JEE-Main - Grade 12 - Mathematics - Integrals - Study ref# 9511

Integrate the function:   Answer: Let   Put   read more

JEE-Main - Grade 12 - Mathematics - Integrals - Study ref# 9512

Integrate the function:   Answer: Let  =    read more

JEE-Main - Grade 12 - Mathematics - Integrals - Study ref# 9513

Integrate the function:   Answer: Let   Put      ... read more

JEE-Main - Grade 12 - Mathematics - Integrals - Study ref# 9514

Integrate the rational function:   Answer: Let   Let   read more

JEE-Main - Grade 12 - Mathematics - Integrals - Study ref# 9515

Integrate the rational function:   Answer: Since   is an improper fraction, therefore we convert it into a proper fracti... read more

JEE-Main - Grade 12 - Mathematics - Integrals - Study ref# 9516

Integrate the rational function:   Answer: Let   Let read more

JEE-Main - Grade 12 - Mathematics - Integrals - Study ref# 9517

Integrate the rational function:   Answer: Let     read more

JEE-Main - Grade 12 - Mathematics - Integrals - Study ref# 9518

Integrate the rational function:  [Hint: multiply numerator and denominator by  and put  ] Answer: Let read more

JEE-Main - Grade 12 - Mathematics - Integrals - Study ref# 9519

Integrate the rational function:   Answer: Let Let  , then  read more

JEE-Main - Grade 12 - Mathematics - Integrals - Study ref# 9520

Choose the correct answer:  equals (A)   (B) (C) read more

JEE-Main - Grade 12 - Mathematics - Integrals - Study ref# 9521

Integrate the function:   Answer: Let       read more

JEE-Main - Grade 12 - Mathematics - Integrals - Study ref# 9522

Choose the correct answer:   equals (A)                                   (B)   (C) read more

JEE-Main - Grade 12 - Mathematics - Integrals - Study ref# 9523

Evaluate the following definite integrals:   Answer: Let   then  ... read more

JEE-Main - Grade 12 - Mathematics - Integrals - Study ref# 9524

Evaluate the following definite integrals:   Answer: Let  then     Answer: Let   ……….(i) Also,  and the circle  . Hints- Firstly find the intersection point of and in the first quadrant and t... read more

JEE-Main - Grade 12 - Mathematics - Application of Integrals - Study ref# 9538

The area between  and  is divided into two equal parts by the line  find the value of a. Answer: Given curve  is a parab... read more

JEE-Main - Grade 12 - Mathematics - Application of Integrals - Study ref# 9539

Find the area bounded by the curve  and the line  . Hints – Find the points of intersection of line  and  . Find the proper limits, the required area is given by area under the parabola w.r.t. X-axis subtracted from ar... read more

JEE-Main - Grade 12 - Mathematics - Application of Integrals - Study ref# 9540

Find the area of the circle  which is interior to the parabola   Hints- Draw a proper figure and find which area is required. Find the points of intersection and then integrate with proper limits. Answer: Given circle is read more

JEE-Main - Grade 12 - Mathematics - Application of Integrals - Study ref# 9541

Find the area of the region bounded by the curves  and   Answer: Given curve represents a parabola and it is symmetrical about Y-axis having vertex (0,2). The given region boun... read more

JEE-Main - Grade 12 - Mathematics - Application of Integrals - Study ref# 9542

Using integration, find the area of the triangular region whose sides have the equations  and  . Answer: Given equation of sides of the triangle are and On solving these equation... read more

JEE-Main - Grade 12 - Mathematics - Application of Integrals - Study ref# 9543

Find the area enclosed between the parabola  and the line. Answer: Given , the curve (represent a parabola with vertex (0,0))                   &... read more

JEE-Main - Grade 12 - Mathematics - Application of Integrals - Study ref# 9544

Using method of integration find the area bounded by the curve  . Hints – Find the equations of all the lines enclosing the required area by using  in each quadrant and then, r... read more

JEE-Main - Grade 12 - Mathematics - Application of Integrals - Study ref# 9545

Choose the correct answer: Area bounded by the curve  , the X-axis and the coordinates  and  is (a) -9         (b)            ... read more

JEE-Main - Grade 12 - Mathematics - Application of Integrals - Study ref# 9546

Choose the correct answer: The area of the circle  exterior to the parabola  is (a)    (b)        (c)    &nbs... read more

JEE-Main - Grade 12 - Mathematics - Application of Integrals - Study ref# 9547

Using integration, find the area of the region bounded by the line  ,X-axis and the lines  and  . Answer:     Given equations of the curves are ………(i)        ... read more

Search

Check your desired chapters availability

Search