swapping limits of integration in definite integral

see definite integral

for interval [a,b],

∫abf(x)dx=−∫baf(x)dx

PROOF/

By the Fundamental Theorem of Calculus,

∫abf(x)dx=F(b)−F(a)

and

∫baf(x)dx=F(a)−F(b)=−1(F(b)−F(a))=−∫baf(x)dx

QED

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