Category: Integration

Question Number 164 by 123456 last updated on 25/Jan/15 $$\mathrm{evaluate}f(a,b)=\underset{a}{\stackrel{b}{\int }}(b-x)(x-a)dx$$ Answered by prakash jain last updated on 14/Dec/14 $$\left({b}−{x}\right)\left({x}−{a}\right)=−{x}^{\mathrm{2}} +\left({a}+{b}\right){x}−{ab} \…

Question Number 65691 by mathmax by abdo last updated on 02/Aug/19 $$calculate{\int }_0^{\frac{\pi }{2}}\frac{{cos}^{2}x}{cosx+sinx}dx$$ Commented by mathmax by abdo last updated on…

Question Number 65687 by arcana last updated on 01/Aug/19 $${\int }_0^{2\pi }\frac{sin\left(3t\right)}{5-3cos\left(t\right)}dt=0\mathrm{using}\mathrm{Residue}\mathrm{theorem}$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 65678 by mathmax by abdo last updated on 01/Aug/19 $$calculate\int \frac{3x+1}{(x^2-4)(x^3+2x-3)}dx$$ Commented by mathmax by abdo last updated on 03/Aug/19…

Question Number 65679 by mathmax by abdo last updated on 01/Aug/19 $$let{A}_n={\int }_{-\mathrm{\infty }}^{+\mathrm{\infty }}\frac{cos\left(2^{n}x\right)}{{(x^2+3)}^2}dx$$$$1)calculate{A}_{n}intermsofn$$$$\left.\mathrm{2}\right){find}\:{nsture}\:{of}\:{the}\:{serie}\:\Sigma{A}_{{n}} \:\:\:\:{and}\:\Sigma{n}^{{n}} \:{A}_{{n}}…