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Popular >

integral from-1 to 0 of (5+x^2)

Solution

\int_{- 1}^{0} (5 + x^{2}) d x

Solution

\frac{16}{3}

+1

Decimal

5.33333 \dots

Solution steps

\int_{- 1}^{0} 5 + x^{2} 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} 5 d x + \int_{- 1}^{0} x^{2} d x

\int_{- 1}^{0} 5 d x = 5

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

= 5 + \frac{1}{3}

Simplify

5 + \frac{1}{3} : \frac{16}{3}

= \frac{16}{3}

Graph

Popular Examples

integral from 3 to 6 of x

\int_{3}^{6} x d x

integral from 1 to 3 of (x+1)

\int_{1}^{3} (x + 1) d x

integral from a to b of x^3

\int_{a}^{b} x^{3} d x

integral from 0 to 3 of y^2

\int_{0}^{3} y^{2} d y

integral from 0 to 2 of x^2e^{-2x}

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

Frequently Asked Questions (FAQ)

What is the integral from-1 to 0 of (5+x^2) ?
The integral from-1 to 0 of (5+x^2) is 16/3