Home
Class 12
MATHS
int (secx)/(sqrt(cos 2x))dx =...

`int (secx)/(sqrt(cos 2x))dx =`

A

`2 sin^(-1)(tanx)`

B

`tan^(-1)((tanx)/2)`

C

`sin^(-1)(tanx)`

D

`1/2 tan^(-1)(2 tanx)`

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 5x)/(sqrt(cos 5x)) dx =

int dx/(cosx sqrt(cos 2x)) =

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

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

int (cos 2x-1)/(cos 2x+1) dx =

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

int(e^(sqrt(x)))/(sqrt(x)) dx =

Prove that int_(0)^(a) f(x) dx = int_(0)^(a) f(a - x)dx and hence evaluate the following: (c) int_(0)^(pi/2)(sqrt(sinx))/(sqrt(sin x) + sqrt(cos x))dx