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Popular >

integral from 0 to 1 of 1+x^2e^x

Solution

\int_{0}^{1} 1 + x^{2} e^{x} d x

Solution

e - 1

+1

Decimal

1.71828 \dots

Solution steps

\int_{0}^{1} 1 + x^{2} 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_{0}^{1} 1 d x + \int_{0}^{1} x^{2} e^{x} d x

\int_{0}^{1} 1 d x = 1

\int_{0}^{1} x^{2} e^{x} d x = e - 2

= 1 + e - 2

Simplify

= e - 1

Graph

Popular Examples

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\int_{1}^{3} x^{2} + 4 d x

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\int_{- \frac{π}{2}}^{π} 8 cos (x) d x

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\int_{5}^{- 5} (3 r + 2)^{2} d r

integral from 0 to pi of (1-cos(2x))/2

\int_{0}^{π} \frac{1 - cos ( 2 x )}{2} d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 1 of 1+x^2e^x ?
The integral from 0 to 1 of 1+x^2e^x is e-1