Home
Class 12
MATHS
IfI=int(sin2x)/((3+4cosx)^3)dx ,t h e nI...

`IfI=int(sin2x)/((3+4cosx)^3)dx ,t h e nIe q u a l s` `(3cosx+8)/((3+4cosx)^2)+C` (b) `(3+8cosx)/(16(3+4cosx)^2)+C` `(3cosx)/((3+4cosx)^2)+C` (d) `(3-8cosx)/(16(3+4cosx)^2)+C`

A

`(3 cos x+8)/((3+4 cos x)^(2))+C`

B

`(3+8 cos x)/(16(4 cos x)^(2))+C`

C

`(3+cosx)/((3+4cos x)^(2))+C`

D

`(3-8cos x)/(16(3+4 cos x)^(2))+C`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

IfI=int(sin2x)/((3+4cosx)^3)dx ,t h e nIe q u a l s (a) (3cosx+8)/((3+4cosx)^2)+C (b) (3+8cosx)/(16(3+4cosx)^2)+C (c) (3cosx)/((3+4cosx)^2)+C (d) (3-8cosx)/(16(3+4cosx)^2)+C

If I= int (sin 2x)/((3+4cosx)^(3))dx, then I equals

intdx/(3sinx-4cosx+5)

int(sinxdx)/((2+cosx)(3-cosx))

int(3+2cosx)/((2+3cosx)^2)dx is equal to (a) ((sinx)/(3cosx+2))+c (b) ((2cosx)/(3sinx+2))+c (c) ((2cosx)/(3cosx+2))+c (d) ((2sinx)/(3sinx+2))+c

Evaluate: int(3+2cosx)/(2+3cosx)^2dx

int(cos e c^2x-2005)/(cos^(2005)x)dx is equal to (a) -(cotx)/((cosx)^(2005))+c (b) (tanx)/((cosx)^(2005))+c (c) -(tanx)/((cosx)^(2005)+c (d) none of these

int_0^pisin^3x(1+2cosx)(1+cosx)^2dx

Evaluate: int( 2sinx + 3cosx) dx

int(sin x +8 cosx)/(4 sin x +6cosx)dx=