integral from x to x^4 of t^4

解答

\int_{x}^{x^{4}} t^{4} d t

\frac{x ^{20} - x ^{5}}{5}

求解步骤

\int_{x}^{x^{4}} t^{4} d t

使用幂法则

= [\frac{t ^{5}}{5}]_{x}^{x^{4}}

带入上下限计算后得:

\frac{x ^{20}}{5} - \frac{x ^{5}}{5}

= \frac{x ^{20}}{5} - \frac{x ^{5}}{5}

化简

= \frac{x ^{20} - x ^{5}}{5}

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