integral of ([sin(x)]^2x+[cos(x)]^2x)

解答

\int ([sin (x)]^{2} x + [cos (x)]^{2} x) d x

\frac{x ^{2}}{2} + C

求解步骤

\int [sin (x)]^{2} x + [cos (x)]^{2} x d x

使用三角恒等式改写

= \int x d x

使用幂法则

= \frac{x ^{2}}{2}

解答补常数

= \frac{x ^{2}}{2} + C

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