What is the integral from-1 to 1 of x/(cos(x)) ?

The integral from-1 to 1 of x/(cos(x)) is 0

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integral from-1 to 1 of x/(cos(x))

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

0

Solution steps

\int_{- 1}^{1} \frac{x}{cos ( 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

\frac{x}{cos ( x )} :

Odd

= 0

\int_{- 1}^{1} \frac{18}{( x + 2 ) ^{2}} d x

\int_{0}^{3} - 12 x d x

\int_{- 2}^{0} 3 x^{3} - 12 x d x

\int_{0}^{4} (x^{2} + 6 x) d x

\int_{- 0.5}^{0} b + 2 b x d x

What is the integral from-1 to 1 of x/(cos(x)) ?
The integral from-1 to 1 of x/(cos(x)) is 0