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

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

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

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

0

Solution steps

\int_{- \frac{π}{2}}^{\frac{π}{2}} 2 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

2 sin (x) :

Odd

= 0

\int_{1}^{e} (4 e^{x} + 4 sin (x)) d x

\int_{- \frac{π}{4}}^{\frac{π}{4}} csc^{2} (x) d x

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

\int_{0}^{4} (3 x^{2} + 4 x + 7) d x

\int_{5}^{8} x^{2} d x

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