Home
Class 12
MATHS
int (1)/(16 sin^(2) x + 25 cos^(2) x) d...

`int (1)/(16 sin^(2) x + 25 cos^(2) x) ` dx =

A

`(1)/(40) tan^(-1) ((5)/(4) tanx) + c `

B

`(1)/(40) tan^(-1) ((4)/(5) tanx) + c `

C

`(1)/(20) tan^(-1) ((5)/(4) tanx) + c `

D

`(1)/(20) tan^(-1) ((4)/(5) tanx) + c `

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRALS

    AAKASH SERIES|Exercise EXERCISE -II|157 Videos

  • HYPERBOLA

    AAKASH SERIES|Exercise Exercise|6 Videos

  • LOGARITHMIC SERIES

    AAKASH SERIES|Exercise EXERCISE - III|8 Videos

Similar Questions

Explore conceptually related problems

int(1)/(sin^(2)x+2sin x cos x +5 cos^(2)x)dx=

int(1)/(4sin^(2)x+3sin x cos x+2 cos^(2)x)dx=

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

int (1)/(1 + 16 x^(2)) dx =

int (1)/(2 sin^(2) x + 3 sin x cos x - 2 cos^(2) x ) dx =

int (1)/(sqrt(sin^(2) x cos^(2) x - sin^(4) x)) dx =

Evalute the following integrals int (1)/(4 sin^(2) x + 3 sin" x cos x " +2 cos^(2)x) dx

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