integral from 0 to pi of sec^2(pi/3)

解答

\int_{0}^{π} sec^{2} (\frac{π}{3}) d x

4 π

十进制

12.56637 \dots

求解步骤

\int_{0}^{π} sec^{2} (\frac{π}{3}) d x

常数积分:

\int a d x = a x

= [sec^{2} (\frac{π}{3}) x]_{0}^{π}

化简

[sec^{2} (\frac{π}{3}) x]_{0}^{π} : [4 x]_{0}^{π}

= [4 x]_{0}^{π}

带入上下限计算后得:

4 π

= 4 π

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