Home
Class 12
MATHS
int(x^(2)+1)sqrt(x+1)dx is equal to...

`int(x^(2)+1)sqrt(x+1)dx` is equal to

A

`(x+1)^(7//2)/7-(2(x+1)^(5//2))/5+(2(x+1)^(3//2))/3+c`

B

`2[(x+1)^(7//2)/7-(2(x+1)^(5//2))/5+(2(x+1)^(3//2))/3]+c`

C

`(x+1)^(7//2)/7-(2(x+1)^(5//2))/5+c`

D

`(x+1)^(7//2)/7-(3(x+1)^(5//2))/5+11(x+1)^(5//2)+c`

Text Solution

Verified by Experts

The correct Answer is:
B
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

Similar Questions

Explore conceptually related problems

int((x^(2)-1))/((x^(2)+1)sqrt(x^(4)+1))dx is equal to

None of these int(2x)/((1-x^(2))sqrt(x^(4)-1))dx is equal to :( A) sqrt((x^(2)-1)/(x^(2)+1))+c(B)sqrt((x^(2)+1)/(x^(2)-1))(C)sqrt(x^(4)+1)(D) None of these

" 3."int(x^(2)dx)/(sqrt(1+x))" is equal to "

int(x^(2)-1)/((x^(2)+1)sqrt(x^(4)+1)) dx is equal to -

int sqrt(e^(x)-1)dx is equal to

int(x^(2)+5x-1)/(sqrt(x))dx equals

The integral int(1)/((1+x^(2))sqrt(1-x^(2)))dx is equal to