What is the integral from-pi/4 to pi/4 of tan(θ) ?

The integral from-pi/4 to pi/4 of tan(θ) is 0

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integral from-pi/4 to pi/4 of tan(θ)

\int_{- \frac{π}{4}}^{\frac{π}{4}} tan (θ) d θ

0

Solution steps

\int_{- \frac{π}{4}}^{\frac{π}{4}} tan (θ) d θ

If f(x) is an odd function and continuous at:

[- a, a]

then

\int_{- a}^{a} f (x) d x = 0

Parity of

tan (θ) :

Odd

= 0

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\int_{0}^{1} \frac{6 x}{( 2 x + 1 ) ^{3}} d x

\int_{4}^{5} \frac{1}{2 x ^{2} - 2} d x

\int_{0}^{\infty} e^{- s x} x d x

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

What is the integral from-pi/4 to pi/4 of tan(θ) ?
The integral from-pi/4 to pi/4 of tan(θ) is 0