Integrals – Solved Problems Database

All the problems and solutions shown below were generated using the Integral Calculator.

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ID	Problem	Count
501	$$ \displaystyle\int \sin\left(n\right){\cdot}x\, \mathrm d x $$	2
502	$$ $$	2
503	$$ \displaystyle\int^{1}_{0} {\mathrm{e}}^{-{x}^{2}}\, \mathrm d x $$	2
504	$$ \displaystyle\int \dfrac{x}{{\left({x}^{2}+{a}^{2}\right)}^{\frac{3}{2}}}\, \mathrm d x $$	2
505	$$ \displaystyle\int^{e}_{1} \left(1-\dfrac{\ln\left(x\right)}{x}\right){\cdot}\sqrt{{x}^{2}-2x+2}\, \mathrm d x $$	2
506	$$ \displaystyle\int^{2}_{0} \dfrac{2+\cos\left(1+{x}^{1.5}\right)}{\sqrt{1+0.5{\cdot}\sin\left(x\right)}}\, \mathrm d x $$	2
507	$$ \displaystyle\int^{1}_{-\infty} \dfrac{{\mathrm{e}}^{-{x}^{2}}}{{\left(2{\pi}\right)}^{0.5}}\, \mathrm d x $$	2
508	$$ \displaystyle\int \dfrac{-1}{{x}^{2}}\, \mathrm d x $$	2
509	$$ \displaystyle\int^{4}_{0} \sqrt{1+4{x}^{2}}\, \mathrm d x $$	2
510	$$ \displaystyle\int \dfrac{1}{\left(x+1\right){\cdot}\left(n-x\right)}\, \mathrm d x $$	2
511	$$ \displaystyle\int^{2}_{-2} {x}^{2}+4x+6\, \mathrm d x $$	2
512	$$ $$	2
513	$$ \displaystyle\int \dfrac{\ln\left(x+2\right)}{\sqrt{x+2}}\, \mathrm d x $$	2
514	$$ \displaystyle\int \left(1+x\right){\cdot}{\mathrm{e}}^{x}\, \mathrm d x $$	2
515	$$ $$	2
516	$$ $$	2
517	$$ $$	2
518	$$ \displaystyle\int \sqrt{1-\sin\left(\ln\left(x\right)\right)}\, \mathrm d x $$	2
519	$$ \displaystyle\int {t}^{3}+3\, \mathrm d x $$	2
520	$$ $$	2
521	$$ \displaystyle\int {x}^{4}{\cdot}\cos\left(x\right)\, \mathrm d x $$	2
522	$$ \displaystyle\int {x}^{3}+3\, \mathrm d x $$	2
523	$$ \displaystyle\int \dfrac{\cos\left(x\right)}{\sin\left(\color{orangered}{\square}\right)}\, \mathrm d x $$	2
524	$$ \displaystyle\int^{2}_{0} x{\cdot}\left(1-x\right)\, \mathrm d x $$	2
525	$$ \displaystyle\int \dfrac{\sqrt{x-{x}^{2}}}{{x}^{4}}\, \mathrm d x $$	2
526	$$ \displaystyle\int^{\pi/2}_{0} {\left(\sin\left(x\right)\right)}^{4}{\cdot}{\left(\cos\left(x\right)\right)}^{4}\, \mathrm d x $$	2
527	$$ $$	2
528	$$ \displaystyle\int \dfrac{1}{x}{\cdot}\sin\left(x\right)\, \mathrm d x $$	2
529	$$ \displaystyle\int^{\pi/2}_{0} {\left(\sin\left(x\right)\right)}^{5}{\cdot}x\, \mathrm d x $$	2
530	$$ $$	2
531	$$ \displaystyle\int 2{x}^{-1}\, \mathrm d x $$	2
532	$$ \displaystyle\int \dfrac{{x}^{2}+1}{{\left(x+1\right)}^{2}}\, \mathrm d x $$	2
533	$$ $$	2
534	$$ \displaystyle\int^{\pi/2}_{0} {\left(\sin\left(x\right)\right)}^{5}\, \mathrm d x $$	2
535	$$ \displaystyle\int^{1}_{0} \dfrac{{\left(x-\dfrac{8}{15}\right)}^{2}{\cdot}2{\cdot}\left(x+2\right)}{5}\, \mathrm d x $$	2
536	$$ $$	2
537	$$ $$	2
538	$$ $$	2
539	$$ \displaystyle\int^{2.7e182}_{1} x\, \mathrm d x $$	2
540	$$ \displaystyle\int \dfrac{x-1}{{x}^{2}}\, \mathrm d x $$	2
541	$$ \displaystyle\int^{4}_{0} 3.14{\cdot}{\left(\sqrt{x}+1\right)}^{2}\, \mathrm d x $$	2
542	$$ \displaystyle\int \cot\left(x\right)\, \mathrm d x $$	2
543	$$ \displaystyle\int^{e}_{1} x\, \mathrm d x $$	2
544	$$ \displaystyle\int x{\cdot}{\left(\sin\left(x\right)\right)}^{2}\, \mathrm d x $$	2
545	$$ \displaystyle\int \cos\left(\color{orangered}{\square}\right)\, \mathrm d x $$	2
546	$$ \displaystyle\int^{\pi/2}_{0} \cos\left(1-\tan\left(\color{orangered}{\square}\right)\right)\, \mathrm d x $$	2
547	$$ \displaystyle\int \arcsin\left(x\right)\, \mathrm d x $$	2
548	$$ $$	2
549	$$ \displaystyle\int \sqrt{{x}^{2}+{x}^{4}}\, \mathrm d x $$	2
550	$$ \int {x}^{{2}} \, d\,x $$	2