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Grade 12Integral Calculus

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

taniska

12 Years agoGrade 12

1 Answer

Jitender Singh

12 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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