Category: Integration

Question Number 86013 by mathmax by abdo last updated on 26/Mar/20 $$calculate{\int }_{1+\sqrt{2}}^{+\mathrm{\infty }}\frac{dx}{{(x-1)}^3{(x+2)}^3}$$ Commented by mathmax by abdo last updated…

Question Number 20468 by tammi last updated on 27/Aug/17 $$\int \frac{dx}{\sin {}^{4}x-\cos {}^{4}x}$$ Answered by ajfour last updated on 27/Aug/17 $$-\int \sec 2xdx=-\frac{1}{2}\ln \mid \sec 2x+\tan 2x\mid +C.$$ Terms…

Question Number 20465 by tammi last updated on 27/Aug/17 $$\int \frac{\cos 2xdx}{\sin {}^{2}2x+8}$$ Answered by sma3l2996 last updated on 27/Aug/17 $$t=sin\left(2x\right)\Rightarrow dt=2cos\left(2x\right)dx$$$$\int\frac{{cos}\mathrm{2}{xdx}}{{sin}^{\mathrm{2}} \mathrm{2}{x}+\mathrm{8}}=\frac{\mathrm{1}}{\mathrm{2}}\int\frac{{dt}}{{t}^{\mathrm{2}} +\mathrm{8}}=\frac{\mathrm{1}}{\mathrm{2}}\int\frac{{dt}}{\mathrm{8}\left(\left(\frac{{t}}{\mathrm{2}\sqrt{\mathrm{2}}}\right)^{\mathrm{2}}…

Question Number 85999 by M±th+et£s last updated on 26/Mar/20 $${\int }_0^{\mathrm{\infty }}\frac{{sinx}^2}{1+x^4}dx=0.4009$$$$provethat$$ Commented by MJS last updated on 26/Mar/20…

Question Number 20454 by tammi last updated on 27/Aug/17 $$\int \sec {}^{3}xdx$$ Commented by Joel577 last updated on 27/Aug/17 $$ucanusereductionformulafor\int {sec}^{n}xdx$$ Terms…