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

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

taniska , 10 Years ago

Grade 12

1 Answers

Jitender Singh

Last Activity: 10 Years ago

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

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

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