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

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

Grade:12

1 Answers

Jitender Singh IIT Delhi
askIITians Faculty 158 Points
7 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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