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By putting u=cosx and v’= e^x , use the by parts formula to get:∫e^(x)(cos(x)) dx = cos(x)e^x - ∫-(e^x)sin(x) dx. Use by parts again on the second term to get ∫ =cos(x)e^x + sin(x)e^x - ∫e^(x)(c...

Check to see if anything can be removed from withing the integral and taken out the front. In this case, 7/4 can be taken out the front (as it is not dependent on x), leaving only the term e^(x/2) to be i...

Firstly, to begin this problem we must think of the best way to substitute the given values into the formula. For a start, we are given the tangent at x=2. In other words, this is equal to the derivative ...

When we try to integrate a function of x, we often use reverse chain rule looking for the derivative of our functions with the power on the side of our integral. However, with these two we do not have an ...

First and foremost, this is an integration of two functions multiplied together and so the first thing that should come to your head is integration by parts from C4. However, when we usually do integratio...