[Calculus] 3 integrals

2012-04-28 7:50 am
1. Evaluate∫_[0~π] (sinx)^(n-1) / (1+a cosx)^n dx, where |a| < 1 and n in N.
2. Minimize f(a, b)=∫_[0~1] |a+bx -x²| dx and find a, b.
3. Evaluate ∫_[1~2] (x-1)^m (2-x)^n /(x+3)^(m+n+2) dx, where m,n in N.

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