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Integrate xcos(x) from pi/6 to pi/2

\int_{\frac{\pi }{6}}^{\frac{\pi }{2}} x\cdot\cos\left(x\right)dx

Step by step solution

Problem

$\int_{\frac{\pi }{6}}^{\frac{\pi }{2}} x\cdot\cos\left(x\right)dx$

Show full step-by-step solution

Answer

$x\sin\left(x\right)-\frac{\sqrt{2}}{2}$

Problem Stats

Main topic:

Integration by parts

Used formulas:

3

Time to solve it:

0.22 seconds

Views:

106