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Integral Problem

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2 Answers

They are essentially the same function. I think both answers should be zero. Only the first integral question utilize more complex approximation, but the answer is not that much different. −1.110223024625157×10−16 = -0.0000000000000001≈0


Hi R,
They are not the same function. If you are unsure, graph them.
Neither integral is difficult to calculate. The first integral, for cos(4x)/(sin(2x)cos(2x)), try looking at ln(sin(2x)cos(2x)), and be sure you remember the trig identity cos(2u)=cos2(u)-sin2(u).
The second integral is just a substitution problem. Best luck


Hi, Pierce.
Thank you very much for your response.

But, I think you made a mistake. You said that they are not the same function and you asked me to graph them.
In fact, I graphed them and found that both of them are really the same function.

We can use any graph program to prove that and we will always get the same result.
I use this site:

However, I appreciate your help.