I need help to solve this integral: $$\int_0^{2\pi} |a\cos(x)+b\sin(x)|dx$$ where $a^2+b^2=1$. I hope someone is able to help me.
How to find $\int_0^{2\pi} |a\cos(x)+b\sin(x)|dx$, where $a^2+b^2=1$
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definite-integrals
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0What you're trying to do is to _evaluate_ an integral, not to _solve_ an integral. One solves problems; one solves equations; one evaluates expressions. – 2012-04-09
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0$\displaystyle{\large a,\ b \in {\mathbb R}\ ?}$. – 2014-08-07