Evaluate
\sqrt{2}\left(10-h\right)
Differentiate w.r.t. h
-\sqrt{2}
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\int \sqrt{2}\mathrm{d}x
Evaluate the indefinite integral first.
\sqrt{2}x
Find the integral of \sqrt{2} using the table of common integrals rule \int a\mathrm{d}x=ax.
2^{\frac{1}{2}}\times 10-2^{\frac{1}{2}}h
The definite integral is the antiderivative of the expression evaluated at the upper limit of integration minus the antiderivative evaluated at the lower limit of integration.
\left(10-h\right)\sqrt{2}
Simplify.
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