Integrals

(the database of solved problems)

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

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ID	Problem	Count
451	$$ $$	4
452	$$ $$	4
453	$$ \displaystyle\int \dfrac{4.75}{x}\, \mathrm d x $$	4
454	$$ \displaystyle\int \dfrac{1}{\sqrt{x}}\, \mathrm d x $$	4
455	$$ $$	4
456	$$ $$	4
457	$$ $$	4
458	$$ $$	4
459	$$ \displaystyle\int \dfrac{\dfrac{1}{{\left(2+x\right)}^{\frac{5}{2}}}{\cdot}1}{{x}^{2}}\, \mathrm d x $$	4
460	$$ $$	4
461	$$ $$	4
462	$$ \displaystyle\int \dfrac{{\left({x}^{3}-{x}^{8}\right)}^{5}}{{x}^{-3}}\, \mathrm d x $$	4
463	$$ $$	4
464	$$ $$	4
465	$$ \displaystyle\int 1\, \mathrm d x $$	4
466	$$ \displaystyle\int {x}^{\frac{2}{3}}\, \mathrm d x $$	4
467	$$ \displaystyle\int \dfrac{1}{{x}^{2}+4x+5}\, \mathrm d x $$	4
468	$$ $$	4
469	$$ \displaystyle\int \dfrac{1}{2{x}^{2}-x-1}\, \mathrm d x $$	4
470	$$ \displaystyle\int sq{\cdot}\sqrt{t}{\cdot}\left(1+18.84x\right)\, \mathrm d x $$	4
471	$$ \displaystyle\int \sqrt{1+4{a}^{2}{x}^{2}}\, \mathrm d x $$	4
472	$$ \displaystyle\int \dfrac{\sin\left(3x\right)}{\sin\left(4x\right)}\, \mathrm d x $$	4
473	$$ $$	4
474	$$ \displaystyle\int^{1}_{0} {x}^{6}{\cdot}{\mathrm{e}}^{x}\, \mathrm d x $$	4
475	$$ \displaystyle\int \dfrac{5x}{7-x}\, \mathrm d x $$	4
476	$$ \displaystyle\int \dfrac{x}{7-x}\, \mathrm d x $$	4
477	$$ \displaystyle\int {\left({x}^{2}+{3}^{2}\right)}^{\frac{1}{2}}+\left({\left(8-x\right)}^{2}+{7}^{2}\right){\cdot}\dfrac{1}{2}\, \mathrm d x $$	4
478	$$ $$	4
479	$$ $$	4
480	$$ $$	4
481	$$ \displaystyle\int \dfrac{18}{7-4x}+\dfrac{5}{7-4x}\, \mathrm d x $$	4
482	$$ \displaystyle\int \dfrac{18}{7-4x}+\dfrac{5x}{7-4x}\, \mathrm d x $$	4
483	$$ \displaystyle\int^{7}_{0} \dfrac{18}{7-4x}+\dfrac{5x}{7-4x}\, \mathrm d x $$	4
484	$$ \displaystyle\int^{1}_{0} \dfrac{18}{7-4x}+\dfrac{5x}{7-4x}\, \mathrm d x $$	4
485	$$ \displaystyle\int {\left(2{x}^{2}-36x+398\right)}^{\frac{1}{2}}\, \mathrm d x $$	4
486	$$ \displaystyle\int 2{x}^{2}-36x+398\, \mathrm d x $$	4
487	$$ $$	4
488	$$ \displaystyle\int \sin\left(3\right){\cdot}x{\cdot}\cos\left(x\right)\, \mathrm d x $$	4
489	$$ \displaystyle\int^{\pi/2}_{0} \sin\left(\color{orangered}{\square}\right)\, \mathrm d x $$	4
490	$$ $$	4
491	$$ \displaystyle\int 2{\cdot}{\left({\left(2{\cdot}\sin\left(2x\right)\right)}^{2}\right)}^{2}\, \mathrm d x $$	4
492	$$ $$	4
493	$$ $$	4
494	$$ $$	4
495	$$ $$	4
496	$$ $$	4
497	$$ $$	4
498	$$ $$	4
499	$$ $$	4
500	$$ \displaystyle\int^{\pi/3}_{0} \sin\left(x\right)\, \mathrm d x $$	4