EVALUATE: integral of DX divided by root under a square + b square
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what is b²........
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Integrating functions is one of the core applications of calculus. Sometimes, this is straightforward, as in:F(x) = ∫( x3 + 8) dx
In a comparatively complicated example of this type, you can use a version of the basic formula for integrating indefinite integrals:
∫ (xn + A)dx = x(n + 1)/(n + 1) + An + C ,
where A and C are constants.
Thus for this example,
∫ x3 + 8 = x4/4 + 8x + C.
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