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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 (x+2)e^x

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

integral from 0 to 2 of 3/2 x^2(x-1)^2

\int_{0}^{2} \frac{3}{2} x^{2} (x - 1)^{2} d x

integral from-pi to pi of 9sin(x)

\int_{- π}^{π} 9 sin (x) d x

integral from 0 to 15 of x/(sqrt(4+3x))

\int_{0}^{15} \frac{x}{4 + 3 x} d x

integral from 0 to 1 of (8ti+tj-k)

\int_{0}^{1} (8 t i + t j - k) d t

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