Category: Integration

Question Number 179194 by Acem last updated on 26/Oct/22 $$Evaluatethe\int \frac{{\tan }^{5}x}{{\cos }^{9}x}dx$$ Answered by Acem last updated on 26/Oct/22 $${Deuxie}^{\prime }memethode:$$$$\int\:\frac{\mathrm{tan}^{\mathrm{5}} \:{x}}{\mathrm{cos}^{\mathrm{9}}…

Question Number 48104 by wasim last updated on 19/Nov/18 $$\mathrm{solve}\mathrm{this}$$$$\int (2\mathrm{sinx}+\mathrm{cosx})/(2+3\mathrm{sinx}+{\sin }^{2\mathrm{x}})\mathrm{dx}$$ Answered by MJS last updated on 19/Nov/18 $$\mathrm{Weierstrass}-\mathrm{substitution}$$$${t}=\mathrm{tan}\:\frac{{x}}{\mathrm{2}}\:\Rightarrow\:{x}=\mathrm{2arctan}\:{t};\:{dx}=\frac{\mathrm{2}{dt}}{\mathrm{1}+{t}^{\mathrm{2}}…

Question Number 113634 by eric last updated on 14/Sep/20 $$Bonjourbesoin{d}^{\prime }aide$$$$Calculer\int ln\left(cosx\right)dx$$ Answered by Olaf last updated on 14/Sep/20 $$\mathrm{cos}{x}\:=\:\underset{{k}=\mathrm{0}} {\overset{\infty} {\sum}}\frac{\left(−\mathrm{1}\right)^{{k}} {x}^{\mathrm{2}{k}}…

Question Number 113629 by mathmax by abdo last updated on 14/Sep/20 $$\mathrm{find}\mathrm{f}\left(\mathrm{a}\right)={\int }_0^{\frac{\pi }{8}}\ln (1+\mathrm{a}\sin \theta )\mathrm{d}\theta \mathrm{with}\mathrm{o}<\mathrm{a}<1$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 113627 by mathmax by abdo last updated on 14/Sep/20 $$\mathrm{calculate}{\int }_0^{\mathrm{\infty }}\frac{\mathrm{dx}}{{\mathrm{x}}^4+{\mathrm{ix}}^2+2}$$ Terms of Service Privacy Policy Contact: info@tinkutara.com