Category: Integration

Question Number 70719 by oyemi kemewari last updated on 07/Oct/19 $$\int \sin \left(101\mathrm{x}\right)\sin {}^{99}\mathrm{x}\mathrm{dx}$$ Answered by mind is power last updated on 07/Oct/19 $${sin}\left(\mathrm{101}{x}\right)={sin}\left(\mathrm{100}{x}\right){cos}\left({x}\right)+{sin}\left({x}\right){cos}\left(\mathrm{100}{x}\right) \…

Question Number 5179 by Rojaye Shegz last updated on 26/Apr/16 Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 70696 by Erik_Regiomontan last updated on 07/Oct/19 $$\int x^{x}dx=?$$ Commented by sadimuhmud 136 last updated on 07/Oct/19 $$\mathrm{error}\mathrm{question}..$$$$ \…

Question Number 136211 by greg_ed last updated on 19/Mar/21 $$\mathbf{hi},\mathbf{guyz}!$$$$\mathbf{please},\mathbf{i}\mathbf{need}\mathbf{ur}\mathbf{help}!$$$$\mathbf{I}={\int }_1^5{\mathit{x}\mathit{e}}^{{\mathit{x}}^3}\mathit{d}\mathit{x}$$ Answered by Olaf last updated…

Question Number 136197 by Ar Brandon last updated on 19/Mar/21 $$\mathrm{a}.\mathrm{Prove}\mathrm{that}\mathrm{for}\mathrm{any}\mathrm{real}\mathrm{constant}\mathrm{a}{\int }_0^{\mathrm{\infty }}{\mathrm{e}}^{-\frac{\mathrm{a}}{{\mathrm{x}}^2}}\mathrm{dx}=\mathrm{\infty }$$$$\mathrm{b}.\mathrm{If}\mathrm{a}\mathrm{and}\mathrm{b}\mathrm{are}\mathrm{real}\mathrm{constants},\mathrm{explain}\mathrm{why}\mathrm{we}\mathrm{cannot}\mathrm{split}\mathrm{the}$$$$\mathrm{integral}\:\:\int_{\mathrm{0}} ^{\infty} \left(\mathrm{e}^{−\frac{\mathrm{a}}{\mathrm{x}^{\mathrm{2}} }} −\mathrm{e}^{−\frac{\mathrm{b}}{\mathrm{x}^{\mathrm{2}} }} \right)\mathrm{dx}\:\mathrm{as}\:\mathrm{the}\:\mathrm{difference}\:\int_{\mathrm{0}}…