Home
Class 12
MATHS
int cos^(-3/7)x . sin^(11/7)x dx =...

`int cos^(-3/7)x . sin^(11/7)x dx =`

A

`log|sin^(4/7)x| + c`

B

`4/7 tan^(4/7) x + c`

C

`-7/4 tan^(-4/7) x +c`

D

`log|cos^(4/7) x| + c`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • HYPERBOLA

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|162 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|219 Videos

Similar Questions

Explore conceptually related problems

int_0^(pi/2) (sin^(3)x)/(cos^(3)x+sin^(3)x) dx =

int (sin^(3)x+cos^(3)x)/(sin^(2)x. Cos^(2)x )dx =

int( (2+ cos(x/2))/(x + sin( x/2) ))dx =

int (cos x-1)/(sin x+1) e^(x) dx =

int (sin^(-1)x - cos^(-1)x)/(sin^(-1)x + cos^(-1)x)dx =

Prove that int_(-a)^(a) dx = {(2int_(0)^(a) f(x) dx, if f(x) "is even"),(0, if f(x) "is odd"):} and hence evaluate (b) int_(-pi//2)^(pi//2) sin^(7) x dx .

int(sin 2x)/(sin^(2)x + 2 cos^(2)x) dx =

int_0^(pi) sin(x/2).cos(x/2) dx =

int sin^(2)x.cos^(3)x dx =