Final answer to the problem
$x+\frac{-x}{\sqrt[25]{t^{13}}}+C_0$
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Step-by-step Solution
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1
Expand the integral $\int\left(1-t^{-\frac{13}{25}}\right)dx$ into $2$ integrals using the sum rule for integrals, to then solve each integral separately
$\int1dx+\int-t^{-\frac{13}{25}}dx$
Learn how to solve integral calculus problems step by step online. Integrate the constant function int(1-t^(-13/25))dx. Expand the integral \int\left(1-t^{-\frac{13}{25}}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int1dx results in: x. The integral \int-t^{-\frac{13}{25}}dx results in: \frac{-x}{\sqrt[25]{t^{13}}}. Gather the results of all integrals.
Final answer to the problem
$x+\frac{-x}{\sqrt[25]{t^{13}}}+C_0$
