What is the integral from 0 to 11 of (sin(x))/(10)+4 ?

The integral from 0 to 11 of (sin(x))/(10)+4 is 441/10-1/10 cos(11)

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integral from 0 to 11 of (sin(x))/(10)+4

\int_{0}^{11} \frac{sin ( x )}{10} + 4 d x

\frac{441}{10} - \frac{1}{10} cos (11)

Decimal Notation

44.09955 \dots

Solution steps

\int_{0}^{11} \frac{sin ( x )}{10} + 4 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_{0}^{11} \frac{sin ( x )}{10} d x + \int_{0}^{11} 4 d x

\int_{0}^{11} \frac{sin ( x )}{10} d x = \frac{1}{10} (- cos (11) + 1)

\int_{0}^{11} 4 d x = 44

= \frac{1}{10} (- cos (11) + 1) + 44

Simplify

\frac{1}{10} (- cos (11) + 1) + 44 : \frac{441}{10} - \frac{1}{10} cos (11)

= \frac{441}{10} - \frac{1}{10} cos (11)

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What is the integral from 0 to 11 of (sin(x))/(10)+4 ?
The integral from 0 to 11 of (sin(x))/(10)+4 is 441/10-1/10 cos(11)