Category: Integration

Question Number 91542 by jagoll last updated on 01/May/20 $$\int \frac{x^3}{2x+1}dx=?$$ Commented by Prithwish Sen 1 last updated on 01/May/20 $$\mathrm{put}\:\mathrm{2x}+\mathrm{1}=\frac{\mathrm{1}}{\mathrm{t}}\:\Rightarrow\:\mathrm{dx}\:=\:−\frac{\mathrm{dt}}{\mathrm{2t}^{\mathrm{2}} } \…

Question Number 25965 by Chuks” last updated on 17/Dec/17 $$solvetheintegral$$$$\int {\sin }^4\theta d\theta$$ Answered by $@ty@mlastupdatedon17/Dec/17$$\mathrm{sin}\:\mathrm{3}{x}=\mathrm{3sin}\:{x}−\mathrm{4sin}\:^{\mathrm{3}} {x} \…

Question Number 25955 by abdo imad last updated on 16/Dec/17 $$\mathbf{find}\mathbf{the}\mathbf{value}\mathbf{of}{\int }_0^{\mathrm{\infty }}\mathbf{ln}(2+{\mathbf{x}}^2){(1+{\mathbf{x}}^2)}^{-1}\mathbf{dx}$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 91479 by Zainal Arifin last updated on 01/May/20 $$\underset{-\pi /2}{\stackrel{\pi /2}{\int }}\sqrt{\cos x-{\cos }^{3}x}\mathrm{dx}=\dots$$ Commented by jagoll last updated on 01/May/20 $$\sqrt{\mathrm{cos}\:{x}\left(\mathrm{1}−\mathrm{cos}\:^{\mathrm{2}} {x}\right)}\:=\:\sqrt{\mathrm{cos}\:{x}}\:\sqrt{\mathrm{sin}\:^{\mathrm{2}}…

Question Number 25887 by shivram198922@gmail.com last updated on 16/Dec/17 Answered by ajfour last updated on 16/Dec/17 $${\int }_0^{\pi }[\cos (p-n)x-\cos (p+n)x]dx$$$$=\frac{\sin (p-n)\pi }{p-n}-\frac{\sin (p+n)\pi }{p+n}$$$$=\frac{{p}\left[\mathrm{sin}\:\left({p}−{n}\right)\pi−\mathrm{sin}\:\left({p}+{n}\right)\pi\right]}{{p}^{\mathrm{2}} −{n}^{\mathrm{2}} }…