integral from-1 to 1 of sin^7(x)cos(x)

解答

\int_{- 1}^{1} sin^{7} (x) cos (x) d x

0

求解步骤

\int_{- 1}^{1} sin^{7} (x) cos (x) d x

如果 f(x) 是奇函数，并且在区间:

[- a, a]

范围内连续，则

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

sin^{7} (x) cos (x)

的奇偶性:

奇

= 0

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