Category: Integration

Question Number 178487 by cortano1 last updated on 17/Oct/22 $$\int \frac{dx}{\cot {}^{3}x\sin {}^{7}x}=?$$ Answered by Frix last updated on 18/Oct/22 $$\int\frac{{dx}}{\mathrm{cot}^{\mathrm{3}} \:{x}\:\mathrm{sin}^{\mathrm{7}} \:{x}}=\int\frac{{dx}}{\mathrm{cos}^{\mathrm{3}} \:{x}\:\mathrm{sin}^{\mathrm{4}}…

Question Number 47376 by vajpaithegrate@gmail.com last updated on 09/Nov/18 Answered by MJS last updated on 09/Nov/18 $$f_1:y=x^2-5x+4$$$$f_2:y=1-x$$$${f}_{\mathrm{3}} :\:{y}=\mathrm{0}…

Question Number 112854 by mnjuly1970 last updated on 10/Sep/20 $$\dots .mathematicalanalysis\dots .$$$$$$$$pleasesolve::$$$$$$$$\mathrm{\Omega }={\int }_0^{\mathrm{\infty }}\frac{x^{\frac{4}{5}}-x^{\frac{2}{3}}}{(1+x^2)ln\left(x\right)}dx=???$$$$…

Question Number 47311 by Meritguide1234 last updated on 08/Nov/18 Commented by maxmathsup by imad last updated on 09/Nov/18 $$changementx+2=tgive$$$$\int_{\mathrm{0}} ^{\infty} \:\:\frac{{arctan}\left({x}+\mathrm{2}\right)}{{x}^{\mathrm{2}} \:+\mathrm{2}{x}+\mathrm{5}}{dx}\:=\int_{\mathrm{2}} ^{+\infty}…

Question Number 178341 by haladu last updated on 15/Oct/22 Answered by mahdipoor last updated on 15/Oct/22 $${log}_{y}x=\frac{lnx}{lny}\Rightarrow {log}_{b}a+{log}_{c}a+{log}_{d}a=$$$$ln\left(a\right).(\frac{1}{ln\left(b\right)}+\frac{1}{ln\left(c\right)}+\frac{1}{ln\left(d\right)})=q.ln\left(a\right)$$$$\int\:\frac{{sin}\left({q}.{lna}\right)}{{a}^{\mathrm{2}}…