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	$$ \displaystyle\int^{8.682}_{0} {\left(-\sqrt{\dfrac{x}{10}}-\sin\left(0.5x\right)\right)}^{2}\, \mathrm d x $$	4
452	$$ \displaystyle\int \sqrt{1-{x}^{2}}\, \mathrm d x $$	4
453	$$ $$	3
454	$$ \displaystyle\int^{\pi/3}_{\pi/6} {\left(\sin\left(x\right)\right)}^{4}\, \mathrm d x $$	3
455	$$ \displaystyle\int {\left(\sin\left(x\right)\right)}^{4}\, \mathrm d x $$	3
456	$$ $$	3
457	$$ $$	3
458	$$ $$	3
459	$$ $$	3
460	$$ $$	3
461	$$ \displaystyle\int^{2}_{0} 3{\cdot}\sin\left(x\right)\, \mathrm d x $$	3
462	$$ \displaystyle\int^{\pi/2}_{0} {\left(\sin\left(2x\right)\right)}^{2}{\cdot}\cos\left(2x\right)\, \mathrm d x $$	3
463	$$ \displaystyle\int \sqrt{x{\cdot}\left(4-x\right)}\, \mathrm d x $$	3
464	$$ \displaystyle\int \dfrac{{x}^{2}}{{x}^{3}+5}\, \mathrm d x $$	3
465	$$ \displaystyle\int {x}^{3}{\cdot}\sqrt{1-{x}^{2}}\, \mathrm d x $$	3
466	$$ $$	3
467	$$ \displaystyle\int \sqrt{8x}\, \mathrm d x $$	3
468	$$ $$	3
469	$$ \displaystyle\int \dfrac{1}{\sqrt{1+{x}^{2}}}\, \mathrm d x $$	3
470	$$ \displaystyle\int {\left(2x-3\right)}^{4}\, \mathrm d x $$	3
471	$$ $$	3
472	$$ \displaystyle\int \cos\left(2x\right){\cdot}\cos\left(2x\right)\, \mathrm d x $$	3
473	$$ $$	3
474	$$ $$	3
475	$$ $$	3
476	$$ $$	3
477	$$ $$	3
478	$$ $$	3
479	$$ $$	3
480	$$ \displaystyle\int {\left(\ln\left(x\right)\right)}^{2}\, \mathrm d x $$	3
481	$$ $$	3
482	$$ \displaystyle\int \sqrt{x}{\cdot}\ln\left(x\right)\, \mathrm d x $$	3
483	$$ $$	3
484	$$ $$	3
485	$$ $$	3
486	$$ $$	3
487	$$ $$	3
488	$$ \displaystyle\int^{1}_{-1} {x}^{4}-3{x}^{2}+5\, \mathrm d x $$	3
489	$$ $$	3
490	$$ $$	3
491	$$ $$	3
492	$$ $$	3
493	$$ $$	3
494	$$ $$	3
495	$$ $$	3
496	$$ $$	3
497	$$ \displaystyle\int \sqrt{{\left(\dfrac{3}{2}\right)}^{2}-{\left(x-\dfrac{5}{2}\right)}^{2}}\, \mathrm d x $$	3
498	$$ $$	3
499	$$ $$	3
500	$$ $$	3