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

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

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integral from-2 to 2 of arctan(x)

\int_{- 2}^{2} arctan (x) d x

0

Solution steps

\int_{- 2}^{2} arctan (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

arctan (x) :

Odd

= 0

\int_{0}^{2 - x} \frac{3}{4} x d x

\int_{0.5}^{1.5} (1 4^{2 x}) d x

\int_{0}^{l n (8)} π (e^{- x})^{2} d x

\int_{- 1}^{3} 8 - 4 y^{2} d y

\int_{0}^{2 π} t^{2} 2 d t

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