Home
Class 12
MATHS
Evaluate: int((1+1nx)^5)/x dx...

Evaluate: `int((1+1nx)^5)/x dx`

Text Solution

Verified by Experts

The correct Answer is:
`(1)/(6)(1+"In"x)^(6)+C`

`int((1+"In"x)^(5))/(x)dx=int(1+"In"x)^(5)d(1+"In"x)`
`=(1)/(6)(1+"In"x)^(6)+C`
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRATION

    CENGAGE|Exercise Exercise 7.4|20 Videos
  • INDEFINITE INTEGRATION

    CENGAGE|Exercise Exercise 7.5|9 Videos
  • INDEFINITE INTEGRATION

    CENGAGE|Exercise Exercise 7.2|7 Videos
  • HYPERBOLA

    CENGAGE|Exercise JEE Advanced Previous Year|14 Videos
  • INEQUALITIES AND MODULUS

    CENGAGE|Exercise Single correct Answer|21 Videos

Similar Questions

Explore conceptually related problems

Evaluate: int x(1 - x)^(16) dx

Evaluate: int(log(1+1/x))/(x(1+x))dx

Evaluate int(1)/(1+e^(x))dx

Evaluate: int(x^(3))/(x+1)dx .

Evaluate: int x (1-x)^16 dx

Evaluate : int 1/(x(x^3+1)) dx

Evaluate: int(x^4+1)/(x^6+1)dx

Evaluate int_(0)^(1)x(1-x)^6dx

Evaluate int_(0)^(1)x(1-x)^3dx

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