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Evaluate
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Differentiate w.r.t. x
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\int 625-7^{2}\mathrm{d}x
Calculate 25 to the power of 2 and get 625.
\int 625-49\mathrm{d}x
Calculate 7 to the power of 2 and get 49.
\int 576\mathrm{d}x
Subtract 49 from 625 to get 576.
576x
Find the integral of 576 using the table of common integrals rule \int a\mathrm{d}x=ax.
576x+С
If F\left(x\right) is an antiderivative of f\left(x\right), then the set of all antiderivatives of f\left(x\right) is given by F\left(x\right)+C. Therefore, add the constant of integration C\in \mathrm{R} to the result.