Home
Class 12
MATHS
If inte^(sinx)((xcos^(3)x-sinx)/(cos^(2)...

If `inte^(sinx)((xcos^(3)x-sinx)/(cos^(2)x))dx=e^(sinx)f(x)+c`,
where c is constant of integration, then f(x)=`

A

`secx-x`

B

`x-secx`

C

`tanx-x`

D

`x-tanx`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRALS

    MTG-WBJEE|Exercise WE JEE PREVIOUS YEARS QUESTIONS (CATEGORY 2 : SINGLE OPTION CORRECT TYPE)|1 Videos

  • INDEFINITE INTEGRALS

    MTG-WBJEE|Exercise WB JEE WORKOUT (CATEGORY 3 : ONE OR MORE THAN ONE OPTION CORRECT TYPE)|16 Videos

  • DIFFERENTIAL EQUATIONS

    MTG-WBJEE|Exercise WB JEE Previous Years Questions|19 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    MTG-WBJEE|Exercise WB JEE Previous Years Questions ( CATEGORY 1 : Single Option Correct Type (1 Mark))|6 Videos

Similar Questions

Explore conceptually related problems

If int e^(x)((3-x^(2))/(1-2x+x^(2)))dx=e^(x)f(x)+c , (where c is constant of integration) then f(x) is equal to

If intxe^(2x)dx is equal to e^(2x)f(x)+c , where c is constant of integration, then f(x) is

What is inte^(sinx)(xcos^(3)x-sinx)/(cos^(2)x) dx equal to ?

The integral I=inte^(x)((1+sinx)/(1+cosx))dx=e^(x)f(x)+C (where, C is the constant of integration). Then, the range of y=f(x) (for all x in the domain of f(x) ) is

The integral I=int[xe^(x^(2))(sinx^(2)+cosx^(2))]dx =f(x)+c , (where, c is the constant of integration). Then, f(x) can be

If the integral I=inte^(sinx)(cosx.x^(2)+2x)dx=e^(f(x))g(x)+C (where, C is the constant of integration), then the number of solution(s) of f(x)=g(x) is/are

int_(0)^(pi//4)e^( sinx)(((x cos^(3)x- sinx))/( cos^(2)x))dx

If inte^(sinx).(xcos^(3)x-sinx)/(cos^(2)x)dx=e^(sinx)f(x)+C , such that f(0) =-1 then pi/3-f(pi/3) is equal to:

What is int (e^(x) (1 + x))/(cos^(2) (xe^(x))) dx equal to ? where c is a constant of integration