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Popular Calculus >

integral from 1 to 2 of 1+xe^x

Solution

\int_{1}^{2} 1 + x e^{x} d x

Solution

1 + e^{2}

+1

Decimal

8.38905 \dots

Solution steps

\int_{1}^{2} 1 + x e^{x} d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{1}^{2} 1 d x + \int_{1}^{2} x e^{x} d x

\int_{1}^{2} 1 d x = 1

\int_{1}^{2} x e^{x} d x = e^{2}

= 1 + e^{2}

Graph

Popular Examples

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integral from 1 to 2 of 2^x

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integral from 0 to pi/4 of sin(2x+pi/2)

Frequently Asked Questions (FAQ)

What is the integral from 1 to 2 of 1+xe^x ?
The integral from 1 to 2 of 1+xe^x is 1+e^2