integral of cos(2)(θ)

解答

\int cos (2) (θ) d θ

\frac{1}{2} cos (2) θ^{2} + C

求解步骤

\int cos (2) θ d θ

提出常数:

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

= cos (2) \cdot \int θ d θ

使用幂法则

= cos (2) \frac{θ ^{2}}{2}

化简

cos (2) \frac{θ ^{2}}{2} : \frac{1}{2} cos (2) θ^{2}

= \frac{1}{2} cos (2) θ^{2}

解答补常数

= \frac{1}{2} cos (2) θ^{2} + C

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