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

`(2+sin 2x)/(1+cos 2x) e^(x)`

Text Solution

AI Generated Solution

To solve the integral \( I = \int \frac{2 + \sin 2x}{1 + \cos 2x} e^x \, dx \), we will break it down step by step. ### Step 1: Rewrite the Integral We start with the integral: \[ I = \int \frac{2 + \sin 2x}{1 + \cos 2x} e^x \, dx \] ...
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • INTEGRATION

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 7.11|21 Videos
  • DIFFERENTIAL EQUATIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|18 Videos
  • INVERES TRIGONOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise (prove That )|9 Videos

Similar Questions

Explore conceptually related problems

Integrate the functions (2+sin2x)/(1+cos2x)e^x

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

(i) int (e^(x) .(1-x))/(x^(2))dx (ii) int ((1+sin x)/(1+cos x))e^(x) dx

int (cos^(2)x+sin 2x)/((2 cos x- sin x)^(2))dx

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

Integrate the following: int{(5cos^3x+2sin^3 x)/(2sin^2 x*cos^2 x)+sqrt(1+sin2x)+(1+2sin x)/(cos^2x)+(1-cos2x)/(1+cos 2x)}dx

Show that '(1-cos 2x + sin x)/(sin 2x + cos x) = tan x'

Evaluate: (i) int(sin^2x)/(1+cosx)\ dx (ii) int(sec^2x+cos e c^2x)\ dx

(1 + sin 2x + cos 2x )/( cos x + sin x ) = 2 cos x

If (dy)/(dx)-y log_(e) 2 = 2^(sin x)(cos x -1) log_(e) 2 , then y =