Home
Class 12
MATHS
int(sinxcosx)/(sqrt(1-sin^(4)x)) dx=...

`int(sinxcosx)/(sqrt(1-sin^(4)x))` dx=

A

`tan^(-1)(sin^(2)x)+C`

B

`tan^(-1)(2sinx)+C`

C

`(1)/(2)sin^(-1)(sin^(2)x)+C`

D

`(1)/(2)cos^(-1)(sin^(2)x)+C`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • KARNATAKA CET 2007

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|59 Videos

  • KARNATAKA CET 2009

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos

Similar Questions

Explore conceptually related problems

Evaluate : int(sinx+cosx)/(sqrt(sinxcosx))dx.

int (sinx+cos x)/(sqrt(1+sin2x))dx will be given by :

int(sin x)/(sqrt(4-cos^(2)x))dx=

int (sinxcosx)/(1+cos^(4)x)dx =

int(cos x)/(sqrt(1 + sin x)) dx .

Evaluate the following integrals. int (sin x + cos x)/(sqrt(1+ sin 2x))dx

int_0^(pi//2) (sin x + cos x)/(sqrt(1 + sin 2x)) dx is :

Evaluate the definite integrals int_(0)^(pi/4)(sinxcosx)/(cos^(4)x+sin^(4)x)dx

int dx/(sqrt(sin^(3)x.cosx))dx =

int sqrt(1+sin (x/2)) dx =