Home
Class 12
MATHS
∫sin^(-1)((2x+2)/(sqrt(4x^(2)+8x+13))) d...

`∫sin^(-1)((2x+2)/(sqrt(4x^(2)+8x+13))) dx` is,

Text Solution

Verified by Experts

The correct Answer is:
`I=(x+1)tan^(-1)(2/3 (x+1))- 3/4 log (4x^(2)+8x+13)+C`
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Solved Examples (Matching Type Questions )|1 Videos

  • INDEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise For Session 1|15 Videos

  • HYPERBOLA

    ARIHANT MATHS|Exercise Hyperbola Exercise 11 : Questions Asked in Previous 13 Years Exams|3 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|8 Videos

Similar Questions

Explore conceptually related problems

int (4x)/(sqrt(2x^2+3)) dx

if y=sin^(-1)((5x+12sqrt(1-x^(2)))/(13)) then find (dy)/(dx)

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

int (2x)/sqrt(1-x^2-x^4) dx=

The value of int _(-1)^(1) (x)/(sqrt(1-x^(2))). sin^(-1) (2xsqrt(1-x^(2)))dx is equal to

Evaluate: int(1+x^2)/((1-x^2)sqrt(1+x^2+x^4))\ dx