integral from 6 to 10 of 1/((x-6)^4)

解答

\int_{6}^{10} \frac{1}{( x - 6 ) ^{4}} d x

发散

求解步骤

\int_{6}^{10} \frac{1}{( x - 6 ) ^{4}} d x

使用换元积分法

= \int_{0}^{4} \frac{1}{u ^{4}} d u

使用幂法则

= [- \frac{1}{3 u ^{3}}]_{0}^{4}

带入上下限计算后得:

发散

= 发散

\int \frac{x}{2 x + 4} d x

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