- #1
SticksandStones
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[SOLVED] Integration using substitution
Problem: Find the integral of:
[tex]\int\sin^{6}\theta\cos\theta d\theta[/tex]
My attempt:
Let [tex]u\equiv\cos\theta[/tex]
so: [tex]du\equiv\sin\thetad\theta[/tex]
Only I don't know where to go from there.
The book says it should [tex]\frac{1}{7}\sin^{7}\theta+C[/tex] but I have no idea how they got that.
I'm probably missing something obvious here.
Problem: Find the integral of:
[tex]\int\sin^{6}\theta\cos\theta d\theta[/tex]
My attempt:
Let [tex]u\equiv\cos\theta[/tex]
so: [tex]du\equiv\sin\thetad\theta[/tex]
Only I don't know where to go from there.
The book says it should [tex]\frac{1}{7}\sin^{7}\theta+C[/tex] but I have no idea how they got that.
I'm probably missing something obvious here.
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