Home
Class 11
PHYSICS
Evaluate int (x - cos x +1 //x)....

Evaluate `int (x - cos x +1 //x).`

A

`(x^2)/(2) - cos x + log_e x + C`

B

`(x^2)/(2) - sin x + log_e x + C`

C

`(x^2)/(2) - sin x + (x^(-2)) + C`

D

`(x^2)/(3) - sin x + log_e x + C`

Text Solution

Verified by Experts

The correct Answer is:
B
`int (x -cos x +(1)/(x)) dx = x int x dx - int cos x dx + int(dx)/(x) = (x^2)/(2) - sin x + log_e x + C`
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL TOOLS

    PRADEEP|Exercise PROBLEMS FOR PRACTICE|53 Videos

  • MATHEMATICAL TOOLS

    PRADEEP|Exercise M.C.Q|5 Videos

  • LAWS OF MOTION

    PRADEEP|Exercise Assertion- Reason Type Questions|17 Videos

  • OSCILLATIONS AND WAVES

    PRADEEP|Exercise multiple choice Questions|13 Videos

Similar Questions

Explore conceptually related problems

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

Evaluate int((x cos x+1)dx)/(sqrt(2x^(3)e^(sin x)+x^(2)))

Evaluate int(cosx-cos2 x)/(1-cos x) dx

Evaluate: int(1)/(cos3x-cos x)dx

Evaluate: int(1)/(cos3x-cos x)dx

Evaluate: int(1)/(cos x+csc x)dx

Evaluate: int(x-sin x)/(1-cos x)dx

Evaluate int sin x cos x cos2x cos 4x cos 8x dx

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