Evaluate inte^(x)+2e^(-x)dx....

Evaluate `inte^(x)+2e^(-x)dx`.

Verified by Experts

The correct Answer is:

`1/sqrt(2)tan^(-1)(e^(x)/sqrt(2))+e`.

INDEFINITE INTEGRALS
ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 1 MARK - TYPE-I|36 Videos
INDEFINITE INTEGRALS
ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 1 MARK - TYPE-II|19 Videos
DIFFERENTIABILITY
ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 4 MARKS|50 Videos
INVERSE TRIGONOMETRIC FUNCTIONS
ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 4 MARKS|27 Videos

Evaluate inte^(x)+2e^(-x)dx.
Text Solution
|
Find : int(x^(3)dx)/(x^(4)+3x^(2)+2)dx.
Text Solution
|
Evaluate intdx/(sinx-sin2x)
Text Solution
|
Find : int(dx)/(sinx+sin2x).
Text Solution
|
Evalualte : int (2x)/((x^2+1)(x^2+3))dx.
Text Solution
|
Evalute : intx^2/((x^2+4)(x^2+9))dx
Text Solution
|
Evaluate int x^2/(x^4 + x^2 - 2)dx
Text Solution
|
Evaluate: int(x^2+1)/((x-1)^2(x+3)dx
Text Solution
|
Evaluate the following integrals: int (x^(2)+x+1)/((x+2)(x^(2)+1))dx
Text Solution
|
Evaluate the following integrals: int (3x+5)/(x^(3)-x^(2)-x+1)dx
Text Solution
|
Find : intx/((x-1)(x^(2)+1))dx.
Text Solution
|
Evaluate the following integrals: int (x^(2)+x+1)/((x+2)(x^(2)+1))dx
Text Solution
|
Find : int(x^(3)-1)/(x^(3)+x)dx.
Text Solution
|
Evaluate the following integrals: int(x^4)/((x-1)(x^2+1))dx
Text Solution
|
Evaluate : int(dx)/(cos^(4)x+sin^(4)x).
Text Solution
|
Evaluate: int(1)/(sin^4x+Sin^2x cos^2 x + cos^4x)dx
Text Solution
|

Similar Questions