- #1
kudoushinichi88
- 129
- 2
Hello,
What's the easiest way to evaluate an integral like this?
[tex]\int_{\frac{-\pi}{2}}^{0}\cos^{10}x dx[/tex]
The only method I can think of is to expand the [itex]\cos^{10} x[/itex] using trigonometric identities, and getting [itex]\frac{1}{32}\left(1-\cos2x\right)^5[/itex].
I tried subbing [itex]u=1-\cos2x[/itex] but I doesn't seem to work.
What's the easiest way to evaluate an integral like this?
[tex]\int_{\frac{-\pi}{2}}^{0}\cos^{10}x dx[/tex]
The only method I can think of is to expand the [itex]\cos^{10} x[/itex] using trigonometric identities, and getting [itex]\frac{1}{32}\left(1-\cos2x\right)^5[/itex].
I tried subbing [itex]u=1-\cos2x[/itex] but I doesn't seem to work.
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