Category: Integration

Question Number 58639 by rahul 19 last updated on 26/Apr/19 Answered by tanmay last updated on 27/Apr/19 $$F\left(x\right)={\int }_0^{x}tf\left(t\right)dt$$$$\frac{{dF}}{{dx}}=\int_{\mathrm{0}} ^{{x}} \frac{\partial}{\partial{x}\:}\left({tf}\left({t}\right){dt}\:+{xf}\left({x}\right)\frac{{dx}}{{dx}}−\mathrm{0}×{f}\left(\mathrm{0}\right)×\frac{{d}\mathrm{0}}{{dx}}\right. \…

Question Number 58626 by rahul 19 last updated on 26/Apr/19 Commented by rahul 19 last updated on 26/Apr/19 $$Ans:a,c,d$$ Answered by tanmay last…

Question Number 124135 by bramlexs22 last updated on 01/Dec/20 $$B=\underset{0}{\stackrel{2}{\int }}[\sqrt{\frac{4-x}{x}}-\sqrt{\frac{x}{4-x}}]dx$$ Answered by nico last updated on 01/Dec/20 $$=\int_{\mathrm{0}} ^{\mathrm{2}} \frac{\mathrm{4}−{x}−{x}}{\:\sqrt{\mathrm{4}{x}−{x}^{\mathrm{2}} }}{dx}=\int_{\mathrm{0}}…

Question Number 189639 by mnjuly1970 last updated on 19/Mar/23 $$$$$$\left(\begin{array}{c}20\\ 0\end{array}\right)\left(\begin{array}{c}10\\ 1\end{array}\right)+\left(\begin{array}{c}20\\ 1\end{array}\right)\left(\begin{array}{c}10\\ 2\end{array}\right)+\dots +\left(\begin{array}{c}20\\ 9\end{array}\right)\left(\begin{array}{c}10\\ 10\end{array}\right)=?$$$$$$ Commented by cortano12 last updated on 21/Mar/23 $$\:=\:$$\left(\begin{array}{c}30\\ 9\end{array}\right)$$\:=\frac{\mathrm{30}.\mathrm{29}.\mathrm{28}.\mathrm{27}.\mathrm{26}.\mathrm{25}.\mathrm{24}.\mathrm{23}.\mathrm{22}}{\mathrm{9}.\mathrm{8}.\mathrm{7}.\mathrm{6}.\mathrm{5}.\mathrm{4}.\mathrm{3}.\mathrm{2}.\mathrm{1}} \…

Question Number 124062 by Bird last updated on 30/Nov/20 $$find{\int }_{\frac{\pi }{2}}^{\frac{\pi }{4}}\frac{sin\left(nx\right)}{{sin}^n\left(x\right)}dx\left(nnatural\right)$$ Terms of Service Privacy Policy Contact: info@tinkutara.com