# Step-by-step Solution

## Integrate e^x(x^2-2x-1)

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asin
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sinh
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asinh
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### Videos

$e^x\cdot x^2-e^x-4e^x\cdot x+4e^x+C_0$

## Step-by-step explanation

Problem to solve:

$\int e^x\left(x^2\:-\:2x\:-1\right)dx$
1

Multiplying polynomials $e^x$ and $-2x+-1$

$\int\left(e^x\cdot x^2-2e^x\cdot x-e^x\right)dx$
2

The integral of a sum of two or more functions is equal to the sum of their integrals

$\int e^x\cdot x^2dx+\int-2e^x\cdot xdx+\int-e^xdx$

$e^x\cdot x^2-e^x-4e^x\cdot x+4e^x+C_0$
$\int e^x\left(x^2\:-\:2x\:-1\right)dx$

### Main topic:

Integration by parts

~ 1.56 seconds