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Popular >

integral from 4 to 6 of (x^2-16)

Solution

\int_{4}^{6} (x^{2} - 16) d x

Solution

\frac{56}{3}

+1

Decimal

18.66666 \dots

Solution steps

\int_{4}^{6} 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}^{6} x^{2} d x - \int_{4}^{6} 16 d x

\int_{4}^{6} x^{2} d x = \frac{152}{3}

\int_{4}^{6} 16 d x = 32

= \frac{152}{3} - 32

Simplify

\frac{152}{3} - 32 : \frac{56}{3}

= \frac{56}{3}

Graph

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Frequently Asked Questions (FAQ)

What is the integral from 4 to 6 of (x^2-16) ?
The integral from 4 to 6 of (x^2-16) is 56/3