Question
In Exercises $61-64,$ use integration by parts to establish the reduction formula.$$\int x^{n} \cos x d x=x^{n} \sin x-n \int x^{n-1} \sin x d x$$
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In Exercises $61-64,$ use integration by parts to establish the reduction formula. $$\int x^{n} \sin x d x=-x^{n} \cos x+n \int x^{n-1} \cos x d x$$
Techniques of Integration
Integration by Parts
In Exercises $61-64,$ use integration by parts to establish the reduction formula. $$\int(\ln x)^{n} d x=x(\ln x)^{n}-n \int(\ln x)^{n-1} d x$$
In Exercises $61-64,$ use integration by parts to establish the reduction formula. $$\int x^{n} e^{a x} d x=\frac{x^{n} e^{a x}}{a}-\frac{n}{a} \int x^{n-1} e^{a x} d x, \quad a \neq 0$$
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