Category: Integration

Question Number 119750 by 675480065 last updated on 26/Oct/20 $$\underset{\mathrm{k}=1}{\prod ^{1019}}\left[\frac{2\mathrm{k}}{2\mathrm{k}-1}\right]=?$$ Answered by Bird last updated on 26/Oct/20 $$\prod_{{k}=\mathrm{1}} ^{\mathrm{1019}} \left[\frac{\mathrm{2}{k}}{\mathrm{2}{k}−\mathrm{1}}\right]\:=\prod_{{k}=\mathrm{1}} ^{\mathrm{1019}}…

Question Number 119696 by bemath last updated on 26/Oct/20 $$Fora<bthen\underset{a}{\stackrel{b}{\int }}(x-a)(x-b)dx$$$$equalto\mathrm{\_}$$ Answered by TANMAY PANACEA last updated on 26/Oct/20 $$\int_{{a}}…

Question Number 54102 by gunawan last updated on 29/Jan/19 $$\mathrm{the}\mathrm{absolute}\mathrm{value}$$$${\int }_{10}^{19}\frac{\cos x}{1+x^8}dx\mathrm{is}\dots$$ Commented by tanmay.chaudhury50@gmail.com last updated on 29/Jan/19 $${from}\:{enclosed}\:{graph}\:{below}\:{it}\:{is}\:{clear}\:{that}…

Question Number 54070 by rahul 19 last updated on 28/Jan/19 $$Evaluate:$$$$1)$$$${\int }_{-1}^1{\cot }^{-1}\left(\frac{1}{\sqrt{1-x^2}}\right).\left(\mathrm{co}{t}^{-1}\frac{x}{\sqrt{1-{\left(x^2\right)}^{\mid x\mid }}}\right)dx$$$$\left.\mathrm{2}\right) \…

Question Number 119591 by Lordose last updated on 25/Oct/20 $$$$$$\dots nicecalculus\dots$$$$provethat::$$$$$$$$$$$$\int_{\mathrm{0}} ^{\:\frac{\pi}{\mathrm{2}}} \sqrt{\frac{\left(\mathrm{2}^{{x}} −\mathrm{1}\right){sin}^{\mathrm{3}} \left({x}\right)}{\left(\mathrm{2}^{{x}} +\mathrm{1}\right)\left({sin}^{\mathrm{3}}…