Category: Integration

Question Number 53228 by maxmathsup by imad last updated on 19/Jan/19 $$1)findf\left(a\right)={\int }_0^1\frac{dx}{(ax+1)\sqrt{x^2-x+1}}witha>0$$$$2)calculate{f}^{{}^{\prime }}\left(a\right)$$$$\left.\mathrm{3}\right){find}\:{the}\:{value}\:{of}\:\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\:\frac{{xdx}}{\left({ax}+\mathrm{1}\right)^{\mathrm{2}} \sqrt{{x}^{\mathrm{2}} −{x}+\mathrm{1}}} \…

Question Number 118752 by benjo_mathlover last updated on 19/Oct/20 $$\int \frac{2dx}{x^2\sqrt[4]{{(3+x^4)}^5}}dx$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 118710 by eric last updated on 19/Oct/20 Answered by mathmax by abdo last updated on 19/Oct/20 $$\mathrm{M}=\int_{\mathrm{0}} ^{\infty} \:\frac{\mathrm{lnx}}{\mathrm{1}+\mathrm{x}^{\mathrm{3}} }\mathrm{dx}\:=\int_{\mathrm{0}} ^{\mathrm{1}} \:\frac{\mathrm{lnx}}{\mathrm{1}+\mathrm{x}^{\mathrm{3}} }\mathrm{dx}\:+\int_{\mathrm{1}}…

Question Number 118679 by Algoritm last updated on 19/Oct/20 Answered by 1549442205PVT last updated on 19/Oct/20 $$\int_{\mathrm{0}} ^{\:\mathrm{1}} \frac{\left[\mathrm{2x}\right].\mathrm{x}}{\left[\mathrm{2x}\right]+\mathrm{x}^{\mathrm{2}} }\mathrm{dx}=\int_{\mathrm{0}} ^{\frac{\mathrm{1}}{\mathrm{2}}} \frac{\left[\mathrm{2x}\right].\mathrm{x}}{\left[\mathrm{2x}\right]+\mathrm{x}^{\mathrm{2}} }\mathrm{dx}+\int_{\frac{\mathrm{1}}{\mathrm{2}}} ^{\mathrm{1}} \frac{\left[\mathrm{2x}\right].\mathrm{x}}{\left[\mathrm{2x}\right]+\mathrm{x}^{\mathrm{2}}…

Question Number 118674 by mathace last updated on 19/Oct/20 $$Pleaseintegrate$$$${\int }_0^1\frac{1}{1+x^c}dxwherecisaconstant.$$ Answered by Dwaipayan Shikari last updated on 19/Oct/20…