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Popular >

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

Solution

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

Solution

\frac{20}{3}

+1

Decimal

6.66666 \dots

Solution steps

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

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

\int_{- 1}^{1} 3 d x = 6

= \frac{2}{3} + 6

Simplify

\frac{2}{3} + 6 : \frac{20}{3}

= \frac{20}{3}

Graph

Popular Examples

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\int_{- 32}^{32} 5 x^{2} d x

integral from 2 to 4 of sqrt(x-2)

\int_{2}^{4} x - 2 d x

integral from 0 to 6 of e^{-1/3 x}

\int_{0}^{6} e^{- \frac{1}{3} x} d x

integral from 0 to ln(2) of e^{x-y}

\int_{0}^{l n (2)} e^{x - y} d y

integral from 2 to 5 of 1/((x-1)*(x+2))

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

Frequently Asked Questions (FAQ)

What is the integral from-1 to 1 of (x^2+3) ?
The integral from-1 to 1 of (x^2+3) is 20/3