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HallsofIvy

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Second, you have

[tex]\int_a^b\left(M(x)+ h(x)\right)^2 dx= \int_a^b M^2(x)+ h^2(x) dx[/tex]

and "differentiate with respect to x". Since those are definite integrals, they are numbers, constants, not functions of x and "differentiating with respect to x" just gives 0= 0.

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