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Learn how to solve definite integrals problems step by step online.
$\int_{1}^{\infty }\frac{3}{\sqrt{x^{3}}}dx$
Learn how to solve definite integrals problems step by step online. Integrate the function 3/(x^(3/2)) from 1 to infinity. Simplifying. Rewrite the exponent using the power rule \frac{a^m}{a^n}=a^{m-n}, where in this case m=0. The integral of a function times a constant (3) is equal to the constant times the integral of the function. Apply the power rule for integration, \displaystyle\int x^n dx=\frac{x^{n+1}}{n+1}, where n represents a number or constant function, such as -\frac{3}{2}.