Home
Class 12
MATHS
Evaluate: inte^(2x)\ ((1-sin2x)/(1-cos2x...

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

Text Solution

AI Generated Solution

To evaluate the integral \[ I = \int e^{2x} \cdot \frac{1 - \sin(2x)}{1 - \cos(2x)} \, dx, \] we will follow these steps: ...
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

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

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

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

int e^(x)(2-sin2x)/(1-cos2x)dx

Show that int e^(x)[f(x)+f'(x)]dx=e^(x).f(x)+c Hence, evaluate: int e^(x)((2+sin2x)/(1+cos2x))dx

inte^(x)(sin2x-2)/(1-cos2x)dx

Evaluate: (i) int cot^(-1)((sin2x)/(1-cos2x))dx (ii) int sin^(-1)((2tan x)/(1+tan^(2)x))dx

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

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

Evaluate: (i) int tan^(-1)((sin2x)/(1+cos2x))dx( ii) int cos^(-1)(sin x)dx