What is the integral from-2 to 0 of 15/64+x/(64) ?

The integral from-2 to 0 of 15/64+x/(64) is 7/16

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integral from-2 to 0 of 15/64+x/(64)

\int_{- 2}^{0} \frac{15}{64} + \frac{x}{64} d x

\frac{7}{16}

Decimal

0.4375

Solution steps

\int_{- 2}^{0} \frac{15}{64} + \frac{x}{64} 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_{- 2}^{0} \frac{15}{64} d x + \int_{- 2}^{0} \frac{x}{64} d x

\int_{- 2}^{0} \frac{15}{64} d x = \frac{15}{32}

\int_{- 2}^{0} \frac{x}{64} d x = - \frac{1}{32}

= \frac{15}{32} - \frac{1}{32}

Simplify

\frac{15}{32} - \frac{1}{32} : \frac{7}{16}

= \frac{7}{16}

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What is the integral from-2 to 0 of 15/64+x/(64) ?
The integral from-2 to 0 of 15/64+x/(64) is 7/16