Home
Class 12
MATHS
Evaluate: int([sqrt(1+x^2)+x]^n)/(sqrt(1...

Evaluate: `int([sqrt(1+x^2)+x]^n)/(sqrt(1+x^2))dx`

Text Solution

AI Generated Solution

To evaluate the integral \[ I = \int \frac{\sqrt{1+x^2} + x^n}{\sqrt{1+x^2}} \, dx, \] we can simplify the integrand first. ...
Promotional Banner

Similar Questions

Explore conceptually related problems

Evaluate int sqrt(1-x^2) dx

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

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

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

evaluate int sqrt(1-x^2-2x)dx

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

Evaluate: int1/(x^2sqrt(1+x^2))\ dx

Evaluate: (i) int((1+sqrt(x))^(2))/(sqrt(x))dx (ii) int sqrt(1+e^(x))e^(x)dx

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

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