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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

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}

Graph

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\int_{1}^{5} e^{2 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