Final answer to the problem
The integral diverges.
Step-by-step Solution
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1
Apply the formula: $\frac{a}{x^b}$$=ax^{-b}$, where $a=3$ and $b=5$
$\int_{0}^{1}3x^{-5}dx$
Learn how to solve intégrales définies problems step by step online.
$\int_{0}^{1}3x^{-5}dx$
Learn how to solve intégrales définies problems step by step online. int(3/(x^5))dx&0&1. Apply the formula: \frac{a}{x^b}=ax^{-b}, where a=3 and b=5. Apply the formula: \int_{a}^{b} cxdx=c\int_{a}^{b} xdx, where a=0, b=1, c=3 and x=x^{-5}. Apply the formula: \int x^ndx=\frac{x^{\left(n+1\right)}}{n+1}+C, where n=-5. Apply the formula: \frac{x^a}{b}=\frac{1}{bx^{-a}}, where a=-4 and b=-4.
Final answer to the problem
The integral diverges.
