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Starting with x=2cosu, rearrange for u to get u=arccos(x/2), then find the upper and lower limits of the integral. We find that our lower limit goes from 1 to pi/3, ad our upper limit goes from root 2 to ...

x = i is a solution, and all the coefficients are real, so x = -i must also be a solution:2x^3+3x^2+2x+3 = 0(x+i)(x-i)(Ax+B) = 0 (we argued above that this must be the case)(x^2+1)(Ax+B) = 0(x^2+1)(2x+3) ...

1/2 *e^(x)(sin x -cos x)

The mitochondria is an organelle important for aerobic respiration. This is a process which uses glucose and oxygen to produce adenosine triphosphate, carbon dioxide and water. ATP is a molecule needed to...

Use integration by parts to obtain:u=arcsin(x), u'=1/(1-x²)^0.5, and v'=1, v=x
Using the equation: integral of uv' = uv - integral of u'vintegral of arcsin(x) = xarcsin(x) - inte...