Home
Class 12
MATHS
int (sin^(3)x+cos^(3)x)/(sin^(2)x. Cos^(...

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

A

`sin x-6tanx^(-1)(sin x) + c`

B

`sin x-2 (sinx)^(-1) + c`

C

`sin x-2 (sinx)^(-1) + 6tan^(-1)(sin x) + c`

D

`sin x-2 (sinx)^(-1) + 5 tan^(-1)(sin 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 (sin^(8)x-cos^(8)x)/(1-2sin^(2)x cos^(2)x)dx =

Evaluate : int(sin^(6)x+cos^(6)x)/(sin^(2)x.cos^(2)x)dx.

Find : int(sin^(2)x-cos^(2)x)/(sin^(2)xcos^(2)x)dx :

int(1)/(sin^(2)x cos^(2)x)dx=

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

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

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

int(sin2x)/(sin^(2)x+2cos^(2)x)dx=

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