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Category: Integration

a-a-sin-x-cos-x-dx-

Question Number 10241 by FilupSmith last updated on 31/Jan/17 aa+δsin(x)cos(x+δ)dx=??? Commented by prakash jain last updated on 31/Jan/17 sin(x)cos(x+δ)=sin(x+δδ)cos(x+δ)$$=\frac{\mathrm{sin}\:\left({x}+\delta\right)\mathrm{cos}\:\delta−\mathrm{cos}\:\left({x}+\delta\right)\mathrm{sin}\:\delta}{\mathrm{cos}\:\left({x}+\delta\right)}…

Question-75770

Question Number 75770 by Ajao yinka last updated on 16/Dec/19 Commented by ~blr237~ last updated on 17/Dec/19 $$\mathrm{A}=\int_{\mathrm{0}} ^{\infty} \frac{\mathrm{dx}}{\mathrm{e}^{\mathrm{x}} \sqrt{\mathrm{sinh2x}}}\:=\sqrt{\mathrm{2}}\int_{\mathrm{0}} ^{\infty} \frac{\mathrm{e}^{−\mathrm{x}} \mathrm{dx}}{\:\sqrt{\mathrm{e}^{\mathrm{2x}} −\mathrm{e}^{−\mathrm{2x}}…