Home
Class 12
MATHS
int (x+(cos^(-1)3x)^(2))/(sqrt(1-9x^(2))...

`int (x+(cos^(-1)3x)^(2))/(sqrt(1-9x^(2)))dx =`

A

`c-1/9[sqrt(1-9x^(2))+ (cos^(-1)3x)^(3)]`

B

`c+1/9[sqrt(1-9x^(2))+ (cos^(-1)3x)^(3)]`

C

`c-sqrt(1-9x^(2))+ (cos^(-1)3x)^(3)`

D

`c-1/9[sqrt(1-9x^(2))+ (cos^(-1)3x)^(2)]`

Text Solution

Verified by Experts

The correct Answer is:
A
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

Similar Questions

Explore conceptually related problems

Evaluate int (x cos^(-1)x)/(sqrt(1-x^(2))dx

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

Evaluate : int(xcos^(-1)x)/(sqrt(1-x^(2)))dx

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

The value of int e^(x)(2-x^(2))/((1-x)sqrt(1-x^(2))) dx =

int(1)/(sqrt(x^(2)+2x))dx

int_0^(1/2) (dx)/(sqrt(1-x^(2))) =

int (sin^(-1) x)/(sqrt(1 - x^2)) dx .

int (6x^(2)dx)/(sqrt(9-x^(3))) =