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

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

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integral from-a to a of (2sin(2x))

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

0

Solution steps

\int_{- a}^{a} 2 sin (2 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 (2 x) :

Odd

= 0

\int_{e}^{6} (\frac{1}{x ln ( x )}) d x

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

\int_{- 1}^{1} (∣ x ∣ - x^{2}) d x

\int_{0}^{1} (t + 1) e^{- t} d t

\int_{0}^{t} t e^{2 t} sin (t) d t

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