Coroneos 100 Integrals Worked Solutions

∫ ln x dx → Integration by parts: u = ln x, dv = dx → du = (1/x) dx, v = x = x ln x - ∫ dx = x ln x - x + C

A true "worked solution" for Coroneos 100 explains why a method is chosen at step 1, not just the algebra. coroneos 100 integrals worked solutions

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[ \int \frac1x^2 \sqrt4 + x^2 , dx ]

[ \int \fracx^2(x \sin x + \cos x)^2 , dx ] (Hint: Look for derivative of denominator in numerator.)