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Homework Statement
Evaluate integral( sin^3(x) cos^5(x) ) dx
Homework Equations
sin^2(x) + cos^2(x) = 1
integral x^n dx = x^(n+1)/(n+1) + c
d/dx cos(x) = -sin(x)
a^n*a^m=a^(n+m)
The Attempt at a Solution
I got -cos^6(x)/6+cos^8(x)/8+c
Apparently I did something wrong
SEE ATTACHMENT
Thank you for any assistance! I really don't see what I'm doing wrong. I believe that the method I chose to evaluate this integral is overly simple but mathematically correct and I don't know what I'm doing wrong.