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Popular Calculus >

integral from 1 to 2 of 2xe^x-1

Solution

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

Solution

2 e^{2} - 1

+1

Decimal

13.77811 \dots

Solution steps

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

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

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

= 2 e^{2} - 1

Graph

Popular Examples

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Frequently Asked Questions (FAQ)

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