What is the integral from-pi/2 to pi of 11cos(x) ?

The integral from-pi/2 to pi of 11cos(x) is 11

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integral from-pi/2 to pi of 11cos(x)

\int_{- \frac{π}{2}}^{π} 11 cos (x) d x

11

Solution steps

\int_{- \frac{π}{2}}^{π} 11 cos (x) d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 11 \cdot \int_{- \frac{π}{2}}^{π} cos (x) d x

Use the common integral:

\int cos (x) d x = sin (x)

= 11 [sin (x)]_{- \frac{π}{2}}^{π}

Compute the boundaries:

1

= 11 \cdot 1

Simplify

= 11

\int_{0}^{2} \frac{1}{4 + t ^{2}} d t

\int_{4}^{8} 1

\int_{0}^{1} \frac{x}{8} d x

\int_{4}^{2} 1

\int_{- \infty}^{0} 20 z e^{2 z} d z

What is the integral from-pi/2 to pi of 11cos(x) ?
The integral from-pi/2 to pi of 11cos(x) is 11