int sqrt(1+ sin (x/4) dx =...

`int sqrt(1+ sin (x/4)` dx =`

A

`8(sin (x/8) + cos (x/8) )+ c`

B

`8(sin (x/8) - cos (x/8) )+ c`

C

`8(cos (x/8) - sin (x/8) )+ c`

D

`1/8(sin (x/8) - cos (x/8))+ c`

Text Solution

Verified by Experts

The correct Answer is:

B

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

int x^(3).log x dx =
Text Solution
|
If n in N and I(n) = int (log x)^(n) dx , then I(n) + n I(n - 1) =
Text Solution
|
int sqrt(1+ sin (x/4) dx =
Text Solution
|
Evaluate : int e^(x) ((1 + sin x)/( 1+ cos x)) dx
Text Solution
|
int sqrtx. e^(sqrtx) dx =
Text Solution
|
int (dx)/(cos x-sin x) is equal to :
Text Solution
|
int - dx/(x(x^(7)+1) =
Text Solution
|
int(dx)/(x^(2)+2x+2)=
Text Solution
|
int (1 + tan x)/(e^(-x). Cos x) dx =
Text Solution
|
int (sin 2x)/(1 + cos^(2) x) dx =
Text Solution
|
int (dx)/(x sqrt(x^(6)-16))=
Text Solution
|
int (cosecx)/(cos^(2) (1+ log tan (x/2)) dx =
Text Solution
|
The value of int (1)/(1 + cos 8x)dx is
Text Solution
|
int((x^(3)+3x^(2)+3x+1))/((x+1)^(5))dx=
Text Solution
|
The value of inte^(x)(x^(5) + 5x^(4) + 1).dx is
Text Solution
|
The value of int((x^(2)+1)/(x^(2)-1))dx is
Text Solution
|
int (ax^(2)-b)(dx)/(x sqrt(c^(2))x^(2) -(ax^(2) + b^(2))^(2)
Text Solution
|
If int (sin x)/(sin (x-alpha))dx=Ax +B log sin (x-alpha)+C , then valu...
Text Solution
|
int (dx)/(x(x^(n)+1)) is equal to :
Text Solution
|
int (dx)/(cos x-sin x) is equal to :
Text Solution
|