Home
Class 12
MATHS
int (1)/((16 + x^(2))^(3//2)) dx =...

`int (1)/((16 + x^(2))^(3//2)) ` dx =

A

`(1)/(16).(x)/(sqrt(16 + x^(2))) + C `

B

`-(1)/(16).(x)/(sqrt(16+x^(2))) + C`

C

`(1)/(16).(1)/(sqrt(16 +x^(2))) + C`

D

`-(1)/(16).(1)/(sqrt(16+x^(2))) + C`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRALS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|167 Videos
  • INDEFINITE INTEGRALS

    AAKASH SERIES|Exercise EXERCISE - I|84 Videos
  • HYPERBOLA

    AAKASH SERIES|Exercise Exercise|6 Videos
  • LOGARITHMIC SERIES

    AAKASH SERIES|Exercise EXERCISE - III|8 Videos

Similar Questions

Explore conceptually related problems

int (1)/((9-x^(2))^(3//2))dx=

int (1)/((x^(2)- 25)^(3//2)) dx =

int e^(x).(x^(3) + x + 1)/((1 + x^(2))^(3//2)) dx =

int(x^(2))/((1+x^(2))^(3//2))dx=

int (1)/(2x^(2)-3)dx=

int (1)/(1 + 16 x^(2)) dx =

int (1)/((2-3x)^(2))dx=

int (1)/(9x^(2)+16)dx=

int (1)/((x^(2)-1)(x^(2)+2))dx=