Home
Class 12
MATHS
int (sec^(2)(logx ))/(x)dx...

`int (sec^(2)(logx ))/(x)dx`

A

`log(tanx)+C`

B

`-log(tanx)+C`

C

`tan(tanx)+C`

D

`-tan(logx)+C`

Text Solution

Verified by Experts

The correct Answer is:
C
Put `logx=t and(1)/(x)dx=dt`.
Promotional Banner

Topper's Solved these Questions

  • METHODS OF INTEGRATION

    RS AGGARWAL|Exercise Exercise 13B|34 Videos

  • METHODS OF INTEGRATION

    RS AGGARWAL|Exercise Exercise 13C|87 Videos

  • METHODS OF INTEGRATION

    RS AGGARWAL|Exercise EXERCISE 13A SHORT ANSWER QUESTIONS|92 Videos

  • MATRICES

    RS AGGARWAL|Exercise Exercise 5F|21 Videos

  • PROBABILITY

    RS AGGARWAL|Exercise Exercise 29 B|2 Videos

Similar Questions

Explore conceptually related problems

int("cosec"^(2)(logx))/(x)dx

int(sec^2(logx))/xdx

Evaluate int_(1)^(2)(logx)/(x)dx

int_(1)^(2)(logx)/(x)dx

int_(1)^(2)(logx)/(x)dx

int(logx)/(x)dx=?

int(sqrt((2+logx)))/(x)dx

int((logx)^n)/(x)dx=

int(logx)/(x^3)dx=

int(logx-1)/(x)dx