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

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

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

\int_{- π}^{π} sin (4 x) d x

0

Solution steps

\int_{- π}^{π} sin (4 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

sin (4 x) :

Odd

= 0

\int_{0}^{2} x d x

\int_{1}^{\infty} \frac{1}{e ^{x} + 1} d x

\int_{- 2}^{5} h (x) d x

\int_{0}^{1} - x^{3} + 4 x^{2} - 3 x d x

\int_{- 5}^{0} (5 + 25 - x^{2}) d x

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