Home
Class 12
MATHS
Let f (x) = int x ^(2) cos ^(2)x (2x + 6...

Let `f (x) = int x ^(2) cos ^(2)x (2x + 6 tan x - 2x tan ^(2) x ) dx and f (x)` passes through the point `(pi, 0)`
The number of solution (s) of the equation `f (x) =x ^(3)` in `[0, 2pi]` be:

A

0

B

3

C

2

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE AND DEFINITE INTEGRATION

    VK JAISWAL ENGLISH|Exercise EXERCISE (MATCHING TYPE PROBLEMS)|2 Videos

  • INDEFINITE AND DEFINITE INTEGRATION

    VK JAISWAL ENGLISH|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|29 Videos

  • INDEFINITE AND DEFINITE INTEGRATION

    VK JAISWAL ENGLISH|Exercise EXERCISE (ONE OR MORE THAN ONE ANSWER IS/ARE CORRECT)|15 Videos

  • HYPERBOLA

    VK JAISWAL ENGLISH|Exercise Exercise-4 : Subjective Type Problems|3 Videos

  • INVERSE TRIGONOMETRIC FUNTIONS

    VK JAISWAL ENGLISH|Exercise Exercise-5 : Subjective Type Problems|6 Videos

Similar Questions

Explore conceptually related problems

Let f (x) = int x ^(2) cos ^(2)x (2x + 6 tan x - 2x tan ^(2) x ) dx and f (x) passes through the point (pi, 0) If f : R-(2n +1) pi/2 to R then f (x) be a :

The number of solution of the equation tan3x-tan2x-tan3x.tan2x = 1 in [0, 2pi] is

The number of solutions of equations |tan2x|=sin x" in"[0,pi]

Find the number of solution of the equations x+ 2 tan x =(pi)/(2) , when x in[0,2pi]

The number of solutions of the equation 4sin^(2)x+tan^(2)x+cot^(2)x+"cosec"^(2)x=6" in " [0, 2pi] :

Let f(x)=max{tanx, cotx} . Then the number of roots of the equation f(x)=(1)/(2)" in "(0, 2pi) is

The number of solutions of the equation 4 sin^(2) x + tan^(2)x + cot^(2)x + "cosec"^(2)x = 6 in [0, 2 pi]

The number of solutions of the equation "tan" x + "sec"x = 2"cos" x lying in the interval [0, 2 pi] is

Let f (x) =cos ^(-1) ((1-tan ^(2)(x//2))/(1+ tan ^(2) (x//2))) . Solve for f(x).

Number of points of discontinuity of f(x)=tan^2x- sec^2 x in (0,2pi) is