Category: Integration

Question Number 137535 by Mathspace last updated on 03/Apr/21 $$calculate{\int }_0^{\mathrm{\infty }}\frac{ln(3+x^2)}{{(1+x^2)}^2}dx$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 6441 by Temp last updated on 27/Jun/16 $$\mathrm{After}\mathrm{looking}\mathrm{at}\mathrm{a}\mathrm{previous}\mathrm{question}$$$$\mathrm{I}\mathrm{was}\mathrm{wondering}\mathrm{if}\mathrm{the}\mathrm{following}$$$$\mathrm{is}\mathrm{correct}:$$$$I\left(n\right)={\int }_0^n{(-1)}^{x}dx,n\in \mathbb{R}$$$${I}\left({n}\right)=\int_{\mathrm{0}} ^{\:{n}} {e}^{{i}\pi{x}} {dx}\:\:\:\left(\mathrm{1}\right) \…

Question Number 6439 by sanusihammed last updated on 27/Jun/16 $$H={\int }_0^{\frac{\mathrm{\Pi }}{4}}\sqrt{tanx}dx$$ Commented by Temp last updated on 27/Jun/16 $$\int \sqrt{\tan x}dx\mathrm{is}\mathrm{difficult}\mathrm{to}\mathrm{solve}.$$ Commented…

Question Number 137508 by EDWIN88 last updated on 03/Apr/21 $$\int \frac{\sin \left(\frac{1}{x}\right)}{x^3}dx=?$$ Answered by liberty last updated on 03/Apr/21 $$L=\int \frac{1}{x}\sin \left(\frac{1}{x}\right)\left(\frac{1}{x^2}\right)dx$$$${let}\:{t}\:=\:\frac{\mathrm{1}}{{x}}\:\Rightarrow−{dt}\:=\:\frac{{dx}}{{x}^{\mathrm{2}} }…

Question Number 137474 by mnjuly1970 last updated on 03/Apr/21 $$\dots ..nice\dots \dots ..calculus\dots ..$$$$\mathit{\varphi }={\int }_0^{1}ln\left(\sqrt[3]{ln\left(\sqrt{1-x}\right)}\right)$$$$Im\left(\mathit{\varphi }\right)=???$$ Answered by mindispower last updated on 03/Apr/21…