help@askiitians.com

+91-735-322-1155

Integral Calculus> integrate the following integral ∫ (e^x +...

question mark

integrate the following integral
∫ (e^x + 1)^2 dx

taniska , 11 Years ago

Grade 12

1 Answers

Jitender Singh

Ans:
Hello Student,
Please find answer to your question below

$I = \int (e^x+1)^2dx$
$I = \int (e^{2x}+1+2e^x)dx$
$I = \int e^{2x}dx+\int dx+2\int e^xdx$
$I = \frac{e^{2x}}{2}+\int dx+2\int e^xdx$
$I = \frac{e^{2x}}{2}+x+2\int e^xdx$
$I = \frac{e^{2x}}{2}+x+2e^x+c$

Last Activity: 11 Years ago

LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

Full Live Access

Study Material

Live Doubts Solving

Daily Class Assignments

The area of a square field is 640000cm².what is its area in hectares

integral calculus

1 Answer Available

Last Activity: 3 Years ago

Please solve this integration. I am facing difficulty in it
How to solve this. Please solve anyone. Humble request

integral calculus

1 Answer Available

Last Activity: 3 Years ago

Using laplace transform, solve d²y/dt²+ dy/dt = t² +2t given that y=4 and y’=-2 and t=0

integral calculus

1 Answer Available

Last Activity: 3 Years ago

If 4th term of an A.p is zero, show that the 8th term is double the 6th term

integral calculus

1 Answer Available

Last Activity: 3 Years ago

View all Questions