What is the integral from-pi/4 to pi/4 of x^3sec(x) ?

The integral from-pi/4 to pi/4 of x^3sec(x) is 0

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integral from-pi/4 to pi/4 of x^3sec(x)

\int_{- \frac{π}{4}}^{\frac{π}{4}} x^{3} sec (x) d x

0

Solution steps

\int_{- \frac{π}{4}}^{\frac{π}{4}} x^{3} sec (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

x^{3} sec (x) :

Odd

= 0

\int_{0}^{3} 3 t - 8 d t

\int_{- 1}^{1} \frac{1}{sin ( x )} d x

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

\int_{4}^{8} (- 6 x + 5) d x

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

What is the integral from-pi/4 to pi/4 of x^3sec(x) ?
The integral from-pi/4 to pi/4 of x^3sec(x) is 0