int ((sinx+8cosx)/(4sinx+6cosx)) dx =...

`int ((sinx+8cosx)/(4sinx+6cosx)) dx =`

A

x+1/2log (4sin x 6 cos x) +c

B

2x+log(2sinx+3cosx) + c`

C

`x+1/2 log(2sinx+3cosx)+c`

D

1/2log(4sinx+6cosx)+c

Text Solution

Verified by Experts

The correct Answer is:

A

Promotional Banner

Promotional Banner

Topper's Solved these Questions

HYPERBOLA
HIMALAYA PUBLICATION|Exercise QUESTION BANK|162 Videos
INVERSE TRIGONOMETRIC FUNCTIONS
HIMALAYA PUBLICATION|Exercise QUESTION BANK|219 Videos

HIMALAYA PUBLICATION-INDEFINITE INTEGRAL-QUESTION BANK

inte^(x)((1+sinx)/(1+cosx))dx=
Text Solution
|
int (dx)/(cosx + sqrt3 sinx) equals
Text Solution
|
int ((sinx+8cosx)/(4sinx+6cosx)) dx =
Text Solution
|
If int e^(x) ((1-sinx)/(1-cos x)) dx = f(x) + c then f(x) =
Text Solution
|
int (sqrt(tan x) + sqrt(cot x)) dx is equal to
Text Solution
|
int 7^(7^(7^(x))). 7^(7^(x)).7^(x)dx equals :
Text Solution
|
int (dx)/(1+3 sin^(2)x)dx is :
Text Solution
|
If int f(x) dx = f(x), then int {f(x)}^(2) dx =
Text Solution
|
If (1+cos 4x)/(cot x-tan x) dx = A cos 4x + B, then the values of A an...
Text Solution
|
I = 1/(x^(4)sqrt(a^(2)+x^(2))) dx then I =
Text Solution
|
int (tan^(-1)x)^(3)/(1+x^(2)) dx is equal to
Text Solution
|
int 1/(x^(2)(x^(4)+1)^(3//4)) dx is equal to .
Text Solution
|
The value of int (sin x+ cos x)/(3+ sin 2x) dx is
Text Solution
|
The value ofint 1/(x+sqrt(x-1)) dx =
Text Solution
|
int 1/(x(x^(7)+1)) dx is equal to
Text Solution
|
int (dx)/[(x-1)^(3)(x+2)^(5)]^(1/4)
Text Solution
|
int (dx)/(x^(2)+4x+13) =
Text Solution
|
If int (e^(x)-1)/(e^(x)+1) dx = f(x) + c then f(x) =
Text Solution
|
If int (1)/(x+x^(5)) dx = f(x) + c, then the value of int x^(4)/(x+x^(...
Text Solution
|
int [sin(log(e)x)+cos(log(e)x)]dx =
Text Solution
|