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Popular >

integral from-2 to 2 of (4-t^2)

Solution

\int_{- 2}^{2} (4 - t^{2}) d t

Solution

\frac{32}{3}

+1

Decimal Notation

10.66666 \dots

Solution steps

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

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{- 2}^{2} 4 d t - \int_{- 2}^{2} t^{2} d t

\int_{- 2}^{2} 4 d t = 16

\int_{- 2}^{2} t^{2} d t = \frac{16}{3}

= 16 - \frac{16}{3}

Simplify

16 - \frac{16}{3} : \frac{32}{3}

= \frac{32}{3}

Popular Examples

integral from-2 to-1 of (3w^2-2-1)

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

integral from 0 to 12 of x(0.1e^{-0.1x})

\int_{0}^{12} x (0.1 e^{- 0.1 x}) d x

integral from 0 to 4 of (x(x-1)(x-2))

\int_{0}^{4} (x (x - 1) (x - 2)) d x

integral from-infinity to-6 of xe^x

\int_{- \infty}^{- 6} x e^{x} d x

integral from 0 to pi/4 of (xcos(x)+5)

\int_{0}^{\frac{π}{4}} (x cos (x) + 5) d x

Frequently Asked Questions (FAQ)

What is the integral from-2 to 2 of (4-t^2) ?
The integral from-2 to 2 of (4-t^2) is 32/3