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

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

A

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

B

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

C

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

D

`(1)/(20)log[4sinx+sqrt(16sin^(2)x+25cos^(2)x)]+c`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • INTEGRATION - INDEFINITE INTEGRALS

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (PREVIOUS YEARS MHT-CET EXAM QUESTIONS)|13 Videos

  • INTEGRATION - INDEFINITE INTEGRALS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|45 Videos

  • INTEGRATION - INDEFINITE INTEGRALS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|45 Videos

  • INTEGRATION - DEFINITE INTEGRALS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|20 Videos

  • LINE IN SPACE

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|44 Videos

Similar Questions

Explore conceptually related problems

Evaluate: int(1)/(sin^(2)x cos^(2)x)dx

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

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

int_(0)^(pi//2)(1)/(16sin^(2)x +25 cos^(2)x)dx=

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

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

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

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

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

int(sin^(8)x-cos^(8)x)/(1-2sin^(2)x cos^(2)x)dx=