What is the integral from-pi to pi of 4sin(x)+cos(x) ?

The integral from-pi to pi of 4sin(x)+cos(x) is 0

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integral from-pi to pi of 4sin(x)+cos(x)

\int_{- π}^{π} 4 sin (x) + cos (x) d x

0

Solution steps

\int_{- π}^{π} 4 sin (x) + cos (x) 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_{- π}^{π} 4 sin (x) d x + \int_{- π}^{π} cos (x) d x

\int_{- π}^{π} 4 sin (x) d x = 0

\int_{- π}^{π} cos (x) d x = 0

= 0 + 0

Simplify

= 0

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What is the integral from-pi to pi of 4sin(x)+cos(x) ?
The integral from-pi to pi of 4sin(x)+cos(x) is 0