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F′(x)=f(x)F'(x) = f(x)F′(x)=f(x); differentiating FFF gives fff
F(b)−F(a)F(b) - F(a)F(b)−F(a) where FFF is primitive of fff
xn+1n+1+C\frac{x^{n+1}}{n+1} + Cn+1xn+1+C
Would require division by zero (undefined)
[F(x)]ab=F(b)−F(a)[F(x)]_a^b = F(b) - F(a)[F(x)]ab=F(b)−F(a)
No product rule for integration
No quotient rule for integration
Substitute upper (b)(b)(b), then lower (a)(a)(a), then subtract
No, cannot integrate where function is undefined
Increase index by 1, divide by new index
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