What is the integral from-pi/3 to pi/3 of sin(x) ?

The integral from-pi/3 to pi/3 of sin(x) is 0

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integral from-pi/3 to pi/3 of sin(x)

\int_{- \frac{π}{3}}^{\frac{π}{3}} sin (x) d x

0

Solution steps

\int_{- \frac{π}{3}}^{\frac{π}{3}} 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

sin (x) :

Odd

= 0

\int_{1}^{3} 4 x (x^{2} + 5) d x

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

\int_{2}^{5} \frac{4 - 3 x ^{2}}{x ^{3}} d x

\int_{- 1}^{2} - x^{4} - x^{2} + 6 x + 8 d x

\int_{- 1}^{\infty} 3^{- x} d x

What is the integral from-pi/3 to pi/3 of sin(x) ?
The integral from-pi/3 to pi/3 of sin(x) is 0