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Popular >

integral from-4 to 4 of x^2-16

Solution

\int_{- 4}^{4} x^{2} - 16 d x

Solution

- \frac{256}{3}

+1

Decimal Notation

- 85.33333 \dots

Solution steps

\int_{- 4}^{4} x^{2} - 16 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_{- 4}^{4} x^{2} d x - \int_{- 4}^{4} 16 d x

\int_{- 4}^{4} x^{2} d x = \frac{128}{3}

\int_{- 4}^{4} 16 d x = 128

= \frac{128}{3} - 128

Simplify

\frac{128}{3} - 128 : - \frac{256}{3}

= - \frac{256}{3}

Popular Examples

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

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

integral from 0 to t of sin(u)

\int_{0}^{t} sin (u) d u

integral from 0 to 2 of 1/(sqrt(1+4x))

\int_{0}^{2} \frac{1}{1 + 4 x} d x

integral from 0 to pi of (3sin(x))

\int_{0}^{π} (3 sin (x)) d x

Frequently Asked Questions (FAQ)

What is the integral from-4 to 4 of x^2-16 ?
The integral from-4 to 4 of x^2-16 is -256/3