What is the integral from-pi/2 to pi/2 of sin(nx) ?

The integral from-pi/2 to pi/2 of sin(nx) is 0

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integral from-pi/2 to pi/2 of sin(nx)

\int_{- \frac{π}{2}}^{\frac{π}{2}} sin (n x) d x

0

Solution steps

\int_{- \frac{π}{2}}^{\frac{π}{2}} sin (n 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 (n x) :

Odd

= 0

\int_{0}^{5} π (\frac{15 - 3 x}{5})^{2} d x

\int_{- 2}^{2} 8 x^{2} d x

\int_{0}^{2 π} \frac{1}{3} cos^{4} (x) d x

\int_{0}^{6} 3 x^{2} d x

\int_{1}^{2} cos (nπ x) d x

What is the integral from-pi/2 to pi/2 of sin(nx) ?
The integral from-pi/2 to pi/2 of sin(nx) is 0