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人気のある >

integral from 0 to pi of 6sin(x)+sin(6x)

解

\int_{0}^{π} 6 sin (x) + sin (6 x) d x

解

12

解答ステップ

\int_{0}^{π} 6 sin (x) + sin (6 x) d x

総和規則を適用する:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{0}^{π} 6 sin (x) d x + \int_{0}^{π} sin (6 x) d x

\int_{0}^{π} 6 sin (x) d x = 12

\int_{0}^{π} sin (6 x) d x = 0

= 12 + 0

簡素化

= 12

人気の例

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f (x) = x^{2} - 4 x - 5

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\int (9 + x^{5})^{7} x^{4} d x

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x \to 3 + lim (2 x^{2} - 4)

(3y^2+4x)dx+(2yx)dy=0

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