What is the integral from-pi to pi of 5sin(x) ?

The integral from-pi to pi of 5sin(x) is 0

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integral from-pi to pi of 5sin(x)

\int_{- π}^{π} 5 sin (x) d x

0

Solution steps

\int_{- π}^{π} 5 sin (x) d x

If f(x) is an odd function and continuous at:

[- a, a]

then

\int_{- a}^{a} f (x) d x = 0

Parity of

5 sin (x) :

Odd

= 0

\int_{- 1}^{2} - 2 x^{2} + 2 x + 4 d x

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

\int_{0}^{2 π} cos (\frac{x}{2}) d x

\int_{1}^{6} x^{2} (x - 1) d x

\int_{a}^{b} (x) d x

What is the integral from-pi to pi of 5sin(x) ?
The integral from-pi to pi of 5sin(x) is 0