reduction formulas for n∈N, some n>0, some n>1
∫sin^n x dx=−(1/n)cos x sin^(n−1) x +((n−1)/n)∫sin^(n−2) x dx
∫cos^n x dx=(1/n)sin x cos^(n−1) x +((n−1)/n)∫cos^(n−2) x dx
∫tan^n x dx=(1/(n−1))tan^(n−1) x −∫tan^(n−2) x dx
∫sec^n x dx=(1/(n−1))tan x sec^(n−2) x +((n−2)/(n−1))∫sec^(n−2) x dx
∫csc^n x dx=−(1/(n−1))cot x csc^(n−2) x +((n−2)/(n−1))∫csc^(n−2) x dx
∫cot^n x dx=−(1/(n−1))cot^(n−1) x −∫cot^(n−2) x dx
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