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受欢迎的微积分 >

integral of sin(0.01x)

解答

\int sin (0.01 x) d x

解答

- 100 cos (0.01 x) + C

求解步骤

\int sin (0.01 x) d x

使用换元积分法

= \int sin (u) \frac{1}{0.01} d u

提出常数:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= \frac{1}{0.01} \cdot \int sin (u) d u

化简

= 100 \cdot \int sin (u) d u

使用积分常见定则:

\int sin (u) d u = - cos (u)

= 100 (- cos (u))

u = 0.01 x

代回

= 100 (- cos (0.01 x))

化简

= - 100 cos (0.01 x)

解答补常数

= - 100 cos (0.01 x) + C

作图

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\int x^{2} + 9^{2} d x

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\int cos (7 x) cos (6 x) d x

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