Menu Close

Category: Integration

find-the-volume-of-the-solid-generated-when-the-region-bounded-by-the-y-x-y-x-2-x-2-and-x-4-revolved-about-the-x-axis-

Question Number 141191 by Eric002 last updated on 17/May/21 $${find}\:{the}\:{volume}\:{of}\:{the}\:{solid}\:{generated} \\ $$$${when}\:{the}\:{region}\:{bounded}\:{by}\:{the}\:{y}={x} \\ $$$${y}={x}+\mathrm{2},\:{x}=\mathrm{2}\:{and}\:{x}=\mathrm{4}\:{revolved}\:{about}\:{the}\:{x}-{axis} \\ $$ Answered by ajfour last updated on 17/May/21 $$\:{V}=\pi\int_{\mathrm{2}} ^{\:\:\mathrm{4}}…

z-2-10z-28-dz-

Question Number 10101 by Tawakalitu ayo mi last updated on 23/Jan/17 $$\int\:\frac{\mathrm{z}\:+\:\mathrm{2}}{\mathrm{10z}\:+\:\mathrm{28}}\:\mathrm{dz} \\ $$ Commented by prakash jain last updated on 24/Jan/17 $$=\frac{\mathrm{1}}{\mathrm{10}}\int\frac{\mathrm{10}{z}+\mathrm{28}−\mathrm{8}}{\mathrm{10}{z}+\mathrm{28}}{dz} \\ $$$$=\frac{\mathrm{1}}{\mathrm{10}}\int\left[\mathrm{1}−\frac{\mathrm{8}}{\mathrm{10}{z}+\mathrm{28}}\right]{dz}…

Question-75552

Question Number 75552 by aliesam last updated on 12/Dec/19 Commented by mathmax by abdo last updated on 12/Dec/19 $${let}\:{I}\:=\int_{−\sqrt{\mathrm{3}}} ^{\mathrm{3}\sqrt{\mathrm{3}}} \:\mid\left({x}−\mathrm{2}\right)^{\mathrm{2}} −\mathrm{4}\mid{dx}\:\:\Rightarrow{I}\:\:=\int_{−\sqrt{\mathrm{3}}} ^{\mathrm{3}\sqrt{\mathrm{3}}} \mid{x}^{\mathrm{2}} −\mathrm{4}{x}\mid\:{dx}…

nice-calculus-n-2-n-n-4-n-

Question Number 141082 by mnjuly1970 last updated on 15/May/21 $$\:\:\:\:\:\:\:\:\:\:\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:……..\:{nice}\:\:…….\:\:{calculus}\:…….. \\ $$$$\:\:\:\boldsymbol{\phi}:=\underset{{n}=\mathrm{2}} {\overset{\infty} {\sum}}\:\:\frac{\zeta\:\left(\:{n}\:\right)}{{n}\:.\:\mathrm{4}^{{n}} }=? \\ $$$$ \\ $$ Answered by mindispower last…