Category: Integration

Question Number 62185 by aliesam last updated on 17/Jun/19 $$\int \frac{dx}{sin3x+sin4x}$$ Answered by MJS last updated on 17/Jun/19 $$\int \frac{dx}{\sin 3x+\sin 4x}=$$$$[t=\frac{1}{\cos x}\to dx=\frac{{\cos }^{2}x}{\sin x}]$$$$=−\int\frac{{t}^{\mathrm{3}}…

Question Number 127704 by NATTAPONG4359 last updated on 01/Jan/21 $$$$$$iff\left(x\right)=\{\begin{array}{l}x-n;2n⩽x⩽2n+1\\ n+1;2n+1⩽x⩽2n+2\end{array}wheren=0,1,2,3,..,9$$$$find{\int }_0^{20}f\left(x\right)dx$$ Answered by mahdipoor last updated on 01/Jan/21…

Question Number 62146 by maxmathsup by imad last updated on 16/Jun/19 $$calculate\int \sqrt{\frac{x-1}{x^2+3}}dx.$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 62145 by maxmathsup by imad last updated on 16/Jun/19 $$calculate{\int }_0^{\pi }ln(x^2-2xsin\theta +1)d\theta$$ Commented by maxmathsup by imad last updated on…

Question Number 62128 by maxmathsup by imad last updated on 15/Jun/19 $$let{U}_n={\int }_0^{\mathrm{\infty }}\frac{cos\left(nx\right)}{{(x^2+n^2)}^3}dxwithn⩾1$$$$1)calculate{U}_{n}intremsofn$$$$\left.\mathrm{2}\right)\:{find}\:{lim}_{{n}\rightarrow+\infty} {n}\:{U}_{{n}} \…