What is the integral from-1 to 1 of x/(cos^2(x)) ?

The integral from-1 to 1 of x/(cos^2(x)) is 0

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integral from-1 to 1 of x/(cos^2(x))

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

0

Solution steps

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

\frac{x}{cos ^{2} ( x )} :

Odd

= 0

\int_{0}^{3} (4 x^{2} - 2 x + 5) d x

\int_{0}^{2} 5 x e^{- x^{2}} d x

\int_{0}^{1} 3 x (4 x^{2} - 1)^{5} d x

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

\int_{- 1}^{1} \frac{1}{1 + t ^{2}} d t

What is the integral from-1 to 1 of x/(cos^2(x)) ?
The integral from-1 to 1 of x/(cos^2(x)) is 0