What is the integral of: (4sin(x))/(2+cos(x)) . Thank you.
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Have you learned U-substitution? Always try to pull out some constant to make the integrand simpler. In this case 4 can be pulled out and from there it's a simple u-substitution with 2 + cos(x) = u, du = -sin(x). Can you take it from here?
Originally Posted by charlie8529 What is the integral of: (4sin(x))/(2+cos(x)) . Thank you. $\displaystyle \int {\frac{{4\sin x.dx}} {{2 + \cos x}}} \hfill \\$ $\displaystyle {\text{Let }}2 + \cos x = u \hfill \\$ $\displaystyle - \sin x.dx = du \hfill \\$ now finish it answer $\displaystyle = - 4\log \left( {2 + \cos x} \right) + c \hfill \\$
I've got a whole sheet of these to do, please could you finish off this one so i can have a worked example to make sure i do it right. Thank you.
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