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Evaluate the integral and interpret it as the area of a region.
1 sin 2 x cos x d x. Tip If f 1 x and f 2 x are two functions then an integral of the form f 1 xf 2 xdx can be INTEGRATED BY PARTS as. Integral of y3 sqrt2y2 1dy by Algebraic Substitution up Problem 4. So to get the answer I would have to know the value of the second integral which doesnt look any easier than the. Integral of 1 1x. Log e 3 C.
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N6 1 2 Z 1 x dx lnjxj 3 Z udv uv Z vdu 4 Z 1 ax b dx 1 a lnjax bj Integrals of Rational Functions 5 Z 1 x a2 dx 1 x a 6 Z x andx x an1 n 1n6 1 7 Z xx andx x an1n 1x a n 1n 2 8 Z 1 1 x2 dx tan 1 x 9 Z 1 a2 x2 dx 1 a tan 1 x a 1. 1 sin 2 x cos x d x. You can start by factoring the expression in your logarithm and turn this into intx2 lnx31 dx intx2 lnx3-1 dx.
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