Home
Class 12
MATHS
Evaluate : int(log(e)1+sin^(2)x)/(cos^(2...

Evaluate : `int(log_(e)1+sin^(2)x)/(cos^(2)x)dx`

Text Solution

Verified by Experts

`tanx"ln"(1+sin^(2)x)-2x+sqrt(2)tan^(-1)(sqrt(2).tanx)+C`
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRATION

    RESONANCE ENGLISH|Exercise SELF PRACTIC PROBLEMS|25 Videos

  • INDEFINITE INTEGRATION

    RESONANCE ENGLISH|Exercise PART-II JEE MAIN|9 Videos

  • FUNDAMENTAL OF MATHEMATICS

    RESONANCE ENGLISH|Exercise Exercise|135 Videos

  • MATRICES & DETERMINANT

    RESONANCE ENGLISH|Exercise HLP|34 Videos

Similar Questions

Explore conceptually related problems

int sin2x*e^(cos^(2)x)dx

Evaluate int(log_(e)x)^(2)dx

Evaluate int(log_(e)x)^(2)dx

Evaluate : int (1)/(" sin"^(2) x " cos"^(2) x ") ") " dx "

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

Evaluate : (i) int (cos2x+2sin^2x)/(sin^2x)dx (ii) int(2cos^2x-cos2x)/(cos^2x)dx

Evaluate: inte^(2x)((1+sin2x)/(1+cos2x))dx

Evaluate: inte^(2x)\ ((1+sin2x)/(1+cos2x))\ dx

Evaluate: inte^(2x)((1+sin2x)/(1+cos2x))dx

Evaluate : int(sin2x)/(a^2sin^2x+b^2cos^2x)dx