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

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

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integral from-x to x of sin(x)

\int_{- x}^{x} sin (x) d x

0

Solution steps

\int_{- x}^{x} 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_{- \infty}^{0} \frac{2}{x ^{2} + 4} d x

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

\int_{0}^{2} (2 x - 9) (4 x^{2} + 8) d x

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

\int_{0}^{4} 6 x^{2} d x

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