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** Step-by-step Solution **

Problem to solve:

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Simplify the expression inside the integral

Learn how to solve differential calculus problems step by step online.

$\int\frac{-1}{t^{5}}dt$

Learn how to solve differential calculus problems step by step online. Find the integral int(((-1)^3)/(t^(2+3)))dt. Simplify the expression inside the integral. 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 (-1) 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 -5.

** Final Answer

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