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The integral of a function times a constant ($z10$) is equal to the constant times the integral of the function
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$z10\int\frac{1}{x^3}dx$
Learn how to solve problems step by step online. Find the integral int(z10/(x^3))dx. The integral of a function times a constant (z10) is equal to the constant times the integral of the function. Rewrite the exponent using the power rule \frac{a^m}{a^n}=a^{m-n}, where in this case m=0. 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 -3. Simplify the expression inside the integral.