My friend gave me a nasty integral: int sqrt{1 + (-sin(0.7x^{1.18})0.826x^{0.18})} dx. Can anybody give me some advice on how to solve this?
int sqrt{1 + (-sin(0.7x^{1.18})0.826x^{0.18})} dx
I'm having a bit of trouble with this one. I've tried fitting this into the form int sqrt{a^2 + x^2} dx .
However, it's a bit tricky considering the fact that there is an inner trigonometric function that has to be dealt with. I tried substitution leaving me with something with the form int(sqrt{a^2 + x^2}/cos(f(x)))dx (where f is some function of x) and then I tried integration by parts but I got lost since I had to mix integrals with du and dx and it all became very messy.
Any advice?
I'm having a bit of trouble with this one. I've tried fitting this into the form
However, it's a bit tricky considering the fact that there is an inner trigonometric function that has to be dealt with. I tried substitution leaving me with something with the form
Any advice?
1 Answer
Please see below.
Explanation:
.
This is a difficult integral that will result in an incomplete
For
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