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
401	$$ $$	4
402	$$ $$	4
403	$$ \displaystyle\int {\mathrm{e}}^{-3}{\cdot}x\, \mathrm d x $$	4
404	$$ $$	4
405	$$ $$	4
406	$$ $$	4
407	$$ $$	4
408	$$ $$	4
409	$$ $$	4
410	$$ $$	4
411	$$ $$	4
412	$$ $$	4
413	$$ \displaystyle\int^{\pi/2}_{-\pi/2} 2{\cdot}\csc\left(x\right)-\csc\left(x\right)\, \mathrm d x $$	4
414	$$ \displaystyle\int \tan\left(x\right)\, \mathrm d x $$	4
415	$$ \displaystyle\int \sqrt{{x}^{2}+1}\, \mathrm d x $$	4
416	$$ $$	4
417	$$ $$	4
418	$$ $$	4
419	$$ $$	4
420	$$ $$	4
421	$$ $$	4
422	$$ $$	4
423	$$ $$	4
424	$$ \displaystyle\int {x}^{2}+3x-\dfrac{\sqrt{x}}{x}-\sqrt{x}\, \mathrm d x $$	4
425	$$ $$	4
426	$$ $$	4
427	$$ \displaystyle\int \sqrt{5-{x}^{2}}\, \mathrm d x $$	4
428	$$ \displaystyle\int \sin\left(5x\right)\, \mathrm d x $$	4
429	$$ \displaystyle\int^{3.14}_{0} \sqrt{1+{\left(1x\right)}^{2}}\, \mathrm d x $$	4
430	$$ \displaystyle\int^{3.14}_{0} sq{\cdot}\sqrt{t}{\cdot}\left(1+{\left(1x\right)}^{2}\right)\, \mathrm d x $$	4
431	$$ \displaystyle\int^{3}_{0} -480ln{\cdot}-25{\cdot}\left(x-20\right)\, \mathrm d x $$	4
432	$$ \displaystyle\int \dfrac{12000}{500-25x}\, \mathrm d x $$	4
433	$$ \displaystyle\int \dfrac{1}{500-25x}\, \mathrm d x $$	4
434	$$ $$	4
435	$$ \displaystyle\int \dfrac{x}{{\left(1-{\mathrm{e}}^{-{x}^{2}}\right)}^{\frac{1}{2}}}\, \mathrm d x $$	4
436	$$ \displaystyle\int^{2}_{1} \dfrac{x}{{\left(1-{\mathrm{e}}^{-{x}^{2}}\right)}^{\frac{1}{2}}}\, \mathrm d x $$	4
437	$$ $$	4
438	$$ \displaystyle\int \dfrac{{\left(1-\ln\left(\dfrac{1}{\sin\left(3x\right)}\right)\right)}^{\frac{1}{3}}}{\tan\left(3x\right)}\, \mathrm d x $$	4
439	$$ \displaystyle\int {\left({x}^{2}-{a}^{2}\right)}^{4}\, \mathrm d x $$	4
440	$$ $$	4
441	$$ $$	4
442	$$ $$	4
443	$$ $$	4
444	$$ \displaystyle\int^{\infty}_{4} \dfrac{{x}^{2-1}{\cdot}{\mathrm{e}}^{\frac{-x}{4}}}{{4}^{2}{\cdot}1}\, \mathrm d x $$	4
445	$$ \displaystyle\int^{\infty}_{4} \dfrac{\left({x}^{2}-1\right){\cdot}\dfrac{{\mathrm{e}}^{-x}}{4}}{{4}^{2}}{\cdot}1\, \mathrm d x $$	4
446	$$ \displaystyle\int^{4}_{\infty} \dfrac{\dfrac{\left({x}^{2}-1\right){\cdot}{\mathrm{e}}^{-x}}{4}}{{4}^{2}}{\cdot}1\, \mathrm d x $$	4
447	$$ \displaystyle\int {x}^{3}{\cdot}\sin\left(x\right)\, \mathrm d x $$	4
448	$$ $$	4
449	$$ $$	4
450	$$ $$	4