Home
Class 12
MATHS
int (dx)/((4sin^(2)x+5cos^(2)x))=?...

`int (dx)/((4sin^(2)x+5cos^(2)x))=?`

A

`1/sqrt(5)tan^(-1)((2tanx)/sqrt(5))+c`

B

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

C

`1/(2sqrt(5))tan^(-1)((2tanx)/sqrt(5))+c`

D

`1/(2sqrt(5))tan^(-1)(tanx/sqrt(5))+c`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • INTEGRATION

    TARGET PUBLICATION|Exercise COMPETITIVE THINKING|165 Videos

  • INTEGRATION

    TARGET PUBLICATION|Exercise EVALUATION TEST|29 Videos

  • INTEGRATION

    TARGET PUBLICATION|Exercise EVALUATION TEST|29 Videos

  • DIFFERENTIATION

    TARGET PUBLICATION|Exercise EVALUATION TEST|30 Videos

  • LINE

    TARGET PUBLICATION|Exercise Evaluation Test|1 Videos

Similar Questions

Explore conceptually related problems

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

int(dx)/(4sin^(2)x+9cos^(2)x)

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

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

int_(0)^(pi//2) (dx)/(4sin^(2) x + 5 cos^(2)x)

int(5)/(sin^(2)x cos^(2)x)dx

int(cos x)/((4+sin^(2)x)(5-4cos^(2)x))backslash dx

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

Evaluate the following integrals: int(5cos^(3)x+6sin^(3)x)/(2sin^(2)x cos^(2)x)dx

(i) int_(0)^(pi//2)(sin^(7)x)/((sin^(7)x+cos^(7)x))dx=(pi)/(4) (ii) int_(0)^(pi//2)(sin^(5)xdx)/((sin^(5)x+cos^(5)x))dx=(pi)/(4)