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Popular >

integral from 4 to 5 of (x^2-16)

Solution

\int_{4}^{5} (x^{2} - 16) d x

Solution

\frac{13}{3}

+1

Solution steps

\int_{4}^{5} 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}^{5} x^{2} d x - \int_{4}^{5} 16 d x

\int_{4}^{5} x^{2} d x = \frac{61}{3}

\int_{4}^{5} 16 d x = 16

= \frac{61}{3} - 16

Simplify

\frac{61}{3} - 16 : \frac{13}{3}

= \frac{13}{3}

Popular Examples

integral from-1 to 6 of 3x

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

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

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

integral from 0 to 1 of (-x^2-x+2)

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

integral from 0 to pi of e^{-t/2}

\int_{0}^{π} e^{- \frac{t}{2}} d t

integral from 0 to 2 of x^2+kx+1

\int_{0}^{2} x^{2} + k x + 1 d x

Frequently Asked Questions (FAQ)

What is the integral from 4 to 5 of (x^2-16) ?
The integral from 4 to 5 of (x^2-16) is 13/3