intsqrt(x^(2)+2x+5)dx is equal to...

`intsqrt(x^(2)+2x+5)dx` is equal to

A

`1/2(x+1)sqrt(x^(2)+2x+5)+2logabs(x+1+sqrt(x^(2)+2x+5))+c`

B

`(x+1)sqrt(x^(2)+2x+5)+2logabs(x+1+sqrt(x^(2)+2x+5))+c`

C

`(x+1)sqrt(x^(2)+2x+5)-2logabs(x+1+sqrt(x^(2)+2x+5))+c`

D

`(x+1)sqrt(x^(2)+2x+5)+1/2logabs(x+1+sqrt(x^(2)+2x+5))+c`

Text Solution

Verified by Experts

The correct Answer is:

A

Promotional Banner

Promotional Banner

Topper's Solved these Questions

INTEGRATION
TARGET PUBLICATION|Exercise EVALUATION TEST|29 Videos
INTEGRATION
TARGET PUBLICATION|Exercise CRITICAL THINKING|179 Videos
DIFFERENTIATION
TARGET PUBLICATION|Exercise EVALUATION TEST|30 Videos
LINE
TARGET PUBLICATION|Exercise Evaluation Test|1 Videos

TARGET PUBLICATION-INTEGRATION-COMPETITIVE THINKING

If I=int(dx)/sqrt((1-x)(x-2)), then I is equal to
Text Solution
|
If intsqrt((x-5)/(x-7))dx = A sqrt(x^(2) - 12 x + 35) + log|x-6 +sqr...
Text Solution
|
intsqrt(x^(2)+2x+5)dx is equal to
Text Solution
|
int (sec^(8)x)/("cosec"x)dx=
Text Solution
|
int(dx)/(5+4cosx)
Text Solution
|
int(1)/(7+5cos x)dx=
Text Solution
|
int(dx)/(1+3sin^2x).
Text Solution
|
"If " int(5tanx)/(tanx-2)dx=x+a " In"(sinx-2cosx)+k " then " a=
Text Solution
|
int(sinx)/(sinx-cosx)dx=
Text Solution
|
(4e^(x)-25)/(2e^(x)-5)
Text Solution
|
int dx/(sin(x-a)sin(x-b))
Text Solution
|
intsqrt(e^(x)-1)dx
Text Solution
|
The value of the integral int(dx)/((e^(x)+e^(-x))) is
Text Solution
|
int(dx)/(sqrt(1-e^(2x))) is equal to
Text Solution
|
Evaluate: int(1+x^2)/(sqrt(1-x^2))\ dx
Text Solution
|
The integral int(dx)/(x^(2)(x^(4)+1)^(3//4)) equal
Text Solution
|
int(2x^(12)+5x^(9))/((x^(5)+x^(3)+1)^(3))dx=
Text Solution
|
The value of integral int1/[(x-3)^(3)(x+2)^(5)]^(1//4)dx is
Text Solution
|
The value of int((x-2)dx)/{(x-2)^(2)(x+3)^(7)}^(1//3) is
Text Solution
|
If I=int(sin2x)/((3+4cosx)^(3))dx , then I=
Text Solution
|