integral from 1 to infinity of x*3/(x^4)

解答

\int_{1}^{\infty} x \cdot \frac{3}{x ^{4}} d x

\frac{3}{2}

十进制

1.5

求解步骤

\int_{1}^{\infty} x \frac{3}{x ^{4}} d x

计算不定积分:

\int x \frac{3}{x ^{4}} d x = - \frac{3}{2 x ^{2}} + C

带入上下限计算后得:

\int_{1}^{\infty} x \frac{3}{x ^{4}} d x = 0 - (- \frac{3}{2})

= 0 - (- \frac{3}{2})

化简

= \frac{3}{2}