Category: Integration

Question Number 88929 by mathmax by abdo last updated on 13/Apr/20 $$cakculate{\int }_0^{\mathrm{\infty }}\frac{arctan\left(ch\left(x\right)\right)}{4+x^2}dx$$ Commented by mathmax by abdo last updated on…

Question Number 88902 by M±th+et£s last updated on 13/Apr/20 $${\int }_{\frac{1}{e}}^{e}ln\mid x\mid dx$$ Commented by abdomathmax last updated on 13/Apr/20 $$\int_{\frac{\mathrm{1}}{{e}}} ^{{e}} \:{ln}\mid{x}\mid{dx}\:=\left[{xlnx}−{x}\right]_{\frac{\mathrm{1}}{{e}}} ^{{e}}…

Question Number 154422 by peter frank last updated on 18/Sep/21 $$\int \frac{{\mathrm{a}}^2\sin {}^2\theta +{\mathrm{b}}^2\cos {}^2\theta }{{\mathrm{a}}^4\sin {}^2\theta +{\mathrm{b}}^4\cos {}^2\theta }\mathrm{d}\theta$$ Terms of Service Privacy…

Question Number 88863 by M±th+et£s last updated on 13/Apr/20 $$\int \frac{8{cos}^3\left(x\right)}{8+{sin}^{3}2x}dx$$$$$$ Commented by MJS last updated on 13/Apr/20 $$\mathrm{I}\:\mathrm{tried}\:\mathrm{everything}\:\mathrm{I}\:\mathrm{know},\:\mathrm{seems}\:\mathrm{impossible} \…

Question Number 88852 by M±th+et£s last updated on 13/Apr/20 $$provethat$$$${\int }_0^n\lceil x\rceil dx=\frac{n(n+1)}{2}and{\int }_0^n\lfloor x\rfloor dx=\frac{n(n-1)}{2}$$$$when\lfloor ..\rfloor isfloorand\lceil ..\rceil isceil$$ Answered by mr W last…