Category: Integration

Question Number 65729 by aliesam last updated on 02/Aug/19 Commented by mathmax by abdo last updated on 03/Aug/19 $$\left.{a}\right)\:\:{let}\:{f}\left(\alpha\right)\:=\int_{\mathrm{0}} ^{\infty} \:{e}^{{ix}} \:{x}^{−\alpha} \:{dx}\:\:\Rightarrow{f}\left(\alpha\right)\:=_{{ix}\:={t}} \:\:\:\int_{\mathrm{0}} ^{\infty}…

Question Number 131247 by bramlexs22 last updated on 03/Feb/21 $$\left(1\right)\psi =\int \frac{dx}{1-\sin x\cos x}=?$$$$\left(2\right){\int }_0^{\mathrm{\infty }}\frac{x}{x^3+1}dx=?$$$$\left(3\right){\int }_0^{\mathrm{\infty }}\frac{1}{x^{3/2}+1}dx=?$$ Answered by liberty…

Question Number 164 by 123456 last updated on 25/Jan/15 $$\mathrm{evaluate}f(a,b)=\underset{a}{\stackrel{b}{\int }}(b-x)(x-a)dx$$ Answered by prakash jain last updated on 14/Dec/14 $$\left({b}−{x}\right)\left({x}−{a}\right)=−{x}^{\mathrm{2}} +\left({a}+{b}\right){x}−{ab} \…

Question Number 65691 by mathmax by abdo last updated on 02/Aug/19 $$calculate{\int }_0^{\frac{\pi }{2}}\frac{{cos}^{2}x}{cosx+sinx}dx$$ Commented by mathmax by abdo last updated on…

Question Number 65687 by arcana last updated on 01/Aug/19 $${\int }_0^{2\pi }\frac{sin\left(3t\right)}{5-3cos\left(t\right)}dt=0\mathrm{using}\mathrm{Residue}\mathrm{theorem}$$ Terms of Service Privacy Policy Contact: info@tinkutara.com