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Popular >

integral from-1 to 0 of (2x+e^x)

Solution

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

Solution

- \frac{1}{e}

+1

Decimal

- 0.36787 \dots

Solution steps

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

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

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

= - 1 + 1 - \frac{1}{e}

Simplify

= - \frac{1}{e}

Graph

Popular Examples

integral from 0 to 1 of xe^{-1}

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

integral from 1 to 4 of (x^4+5x^2)

\int_{1}^{4} (x^{4} + 5 x^{2}) d x

integral from 0 to 2 of x^3(2+x^4)^3

\int_{0}^{2} x^{3} (2 + x^{4})^{3} d x

integral from 0 to 2 of 3x^3-2x^2-e^x

\int_{0}^{2} 3 x^{3} - 2 x^{2} - e^{x} d x

integral from 0 to pi/2 of (1+sin(x))

\int_{0}^{\frac{π}{2}} (1 + sin (x)) d x

Frequently Asked Questions (FAQ)

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