Home
Class 12
MATHS
Evaluate: int(1+tanx)/(x+logsecx)dx...

Evaluate: `int(1+tanx)/(x+logsecx)dx`

Text Solution

Verified by Experts

`=d/dx[x+log(secx)]=1+1/secx*seccxtanx`
`=1+tanx`
`=int(1+tanx)/(a+log(secx))dx=int(d[x+log(secx)])/(x+log(secx))`
`=log|x+log(secx)|`.
Promotional Banner

Topper's Solved these Questions

  • INCREASING AND DECREASING FUNCTION

    RD SHARMA|Exercise Solved Examples And Exercises|232 Videos

  • INVERSE TRIGONOMETRIC FUNCTION

    RD SHARMA|Exercise Solved Examples And Exercises|523 Videos

Similar Questions

Explore conceptually related problems

int((1-tanx)/(x+logcosx))dx

int ((1+tanx))/((x+log secx))dx

Evaluate: int1/(1-tanx)\ dx

Evaluate: inte^x(tanx+logsecx)dx

int ((1+tanx))/((x-logcosx))dx.

int(tanx)/(secx+tanx)dx=

Evaluate: int(sqrt(tanx))dx

Evaluate int(sqrt(tanx))/(sinx cosx)dx

int(x+tanx)/(x.sinx.secx)dx=

inte^(x)(tanx+logsecx)dx=?