Home
Class 12
MATHS
if I=int(x^(2)+20)/((x sin x+5cosx)^(2))...

`if I=int(x^(2)+20)/((x sin x+5cosx)^(2))dx`,then I equals-

A

`-x/(cos x(xsin+5cosx))+tan x +c`

B

`x/(sinx(xsin + 5cos x))+cotx+c`

C

`(x sin x - 5 cos x )^(-1) sin x + 7x + c`

D

`-x sec x(x sin x + 5cosx)^(-1) + cot(pi/2-x)+c`

Text Solution

Verified by Experts

The correct Answer is:
A, D
Promotional Banner

Topper's Solved these Questions

  • INTEGRALS OF SOME SPECIAL FORM OF FUNCTIONS

    CHHAYA PUBLICATION|Exercise Integer Answer Type|5 Videos
  • INTEGRALS OF SOME SPECIAL FORM OF FUNCTIONS

    CHHAYA PUBLICATION|Exercise Comprehension Type|6 Videos
  • INTEGRALS OF SOME SPECIAL FORM OF FUNCTIONS

    CHHAYA PUBLICATION|Exercise Long Answer type Questions|42 Videos
  • INCREASING AND DECREASING FUNCTION

    CHHAYA PUBLICATION|Exercise Assertion-Reason Type|2 Videos
  • INTEGRATION BY PARTS

    CHHAYA PUBLICATION|Exercise Assertion-Reason Type|2 Videos

Similar Questions

Explore conceptually related problems

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

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

Evaluate : int(x^2+20)/((xsinx+5cosx)^2)dx

if I=int_0^(pi/2)( sin8xlog(cotx))/(cos2x)dx then I equals

int cosx/(cos2x)dx

If I=int (dx)/((a^(2)-b^(2)x^(2))^(3//2)) , then I equals

int _0^(pi/2) (sin^2x)/(sinx+cosx)dx

int (dx)/(sin x+sin 2x)

int dx/(3 + 2sin x +cosx)