Reduction Formulae for Definite Integration
Category : JEE Main & Advanced
(1) \[\int_{0}^{\infty }{{{e}^{-ax}}\sin bxdx}=\frac{b}{{{a}^{2}}+{{b}^{2}}}\]
(2) \[\int_{0}^{\infty }{{{e}^{-ax}}\cos bxdx}=\frac{a}{{{a}^{2}}+{{b}^{2}}}\]
(3) \[\int_{0}^{\infty }{{{e}^{-ax}}}{{x}^{n}}dx=\frac{n!}{{{a}^{n}}+1}\]
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