What is the integral from-pi/2 to pi/2 of 9sin(x) ?

The integral from-pi/2 to pi/2 of 9sin(x) is 0

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integral from-pi/2 to pi/2 of 9sin(x)

\int_{- \frac{π}{2}}^{\frac{π}{2}} 9 sin (x) d x

0

Solution steps

\int_{- \frac{π}{2}}^{\frac{π}{2}} 9 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

9 sin (x) :

Odd

= 0

\int_{0}^{1} x (1 + x)^{6} d x

\int_{0}^{1} 6 x^{3} d x

\int_{0}^{1} \frac{9}{1 + x ^{2}} d x

\int_{0}^{2} (x^{3} - x^{2} - 2 x) d x

\int_{0}^{3} 10 x d x

What is the integral from-pi/2 to pi/2 of 9sin(x) ?
The integral from-pi/2 to pi/2 of 9sin(x) is 0