积分 y=cos(x^2)(0.1)

解答

积分

y = cos (x^{2}) (0.1)

0.12533 \dots C (\frac{2}{π} x) + C

求解步骤

\int cos (x^{2}) \cdot 0.1 d x

提出常数:

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

= 0.1 \cdot \int cos (x^{2}) d x

这是非初等函数积分:

\int cos (x^{2}) d x = \frac{π}{2} C (\frac{2}{π} x)

= 0.1 \frac{π}{2} C (\frac{2}{π} x)

化简

= 0.12533 \dots C (\frac{2}{π} x)

解答补常数

= 0.12533 \dots C (\frac{2}{π} x) + C

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