Integrals – Solved Problems Database

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

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ID	Problem	Count
451	$$ \displaystyle\int^{-1}_{-1} 3{x}^{2}-2x+2\, \mathrm d x $$	2
452	$$ $$	2
453	$$ \displaystyle\int^{2\pi}_{0} x\, \mathrm d x $$	2
454	$$ $$	2
455	$$ \displaystyle\int^{2\pi}_{0} \dfrac{x}{2{\pi}}\, \mathrm d x $$	2
456	$$ $$	2
457	$$ \displaystyle\int \dfrac{1}{{x}^{\frac{3}{2}}+8}\, \mathrm d x $$	2
458	$$ \displaystyle\int \dfrac{32{x}^{3}}{\cos\left(2{x}^{4}+1\right)}\, \mathrm d x $$	2
459	$$ \displaystyle\int^{6}_{1} \mathrm{e}\, \mathrm d x $$	2
460	$$ $$	2
461	$$ \displaystyle\int \dfrac{{x}^{\frac{1}{2}}+1}{{x}^{\frac{3}{2}}+8}\, \mathrm d x $$	2
462	$$ \displaystyle\int \sin\left(\color{orangered}{\square}\right)\, \mathrm d x $$	2
463	$$ \displaystyle\int \dfrac{{\mathrm{e}}^{{x}^{\frac{1}{3}}}{\cdot}{2}^{{\mathrm{e}}^{{x}^{\frac{1}{3}}}}}{{x}^{\frac{2}{3}}}\, \mathrm d x $$	2
464	$$ $$	2
465	$$ \displaystyle\int \sin\left(\color{orangered}{\square}\right)\, \mathrm d x $$	2
466	$$ \displaystyle\int {x}^{-1}{\cdot}\sqrt{1+{x}^{-4}}\, \mathrm d x $$	2
467	$$ \displaystyle\int -\sec\left(x\right){\cdot}\tan\left(x\right)-\cos\left(x\right)-\dfrac{2}{{x}^{3}}\, \mathrm d x $$	2
468	$$ \displaystyle\int \cos\left(\color{orangered}{\square}\right)\, \mathrm d x $$	2
469	$$ \displaystyle\int^{2\pi}_{0} \dfrac{x{\cdot}\cos\left(x\right)}{2{\pi}}\, \mathrm d x $$	2
470	$$ \displaystyle\int^{2\pi}_{0} \dfrac{x{\cdot}\cos\left(2x\right)}{{\pi}}\, \mathrm d x $$	2
471	$$ \displaystyle\int {x}^{3}{\cdot}\sqrt{5{x}^{2}+4}\, \mathrm d x $$	2
472	$$ \displaystyle\int^{52}_{2839} 6.28\, \mathrm d x $$	2
473	$$ \int {2}\pi{x}^{{\frac{{1}}{{3}}}}{\left(\sqrt{{{1}+\frac{{1}}{{{9}{x}^{{\frac{{4}}{{3}}}}}}}}\right)} \, d\,x $$	2
474	$$ \displaystyle\int {\left(\sec\left(x\right)\right)}^{3}\, \mathrm d x $$	2
475	$$ \displaystyle\int -x{\cdot}{\mathrm{e}}^{-x}\, \mathrm d x $$	2
476	$$ \displaystyle\int^{\infty }_{0} {\mathrm{e}}^{{x}^{2}}{\cdot}\sin\left(x\right)\, \mathrm d x $$	2
477	$$ \displaystyle\int 2{\mathrm{e}}^{x}-1\, \mathrm d x $$	2
478	$$ \displaystyle\int \dfrac{\cos\left(3\right){\cdot}\sqrt{x}}{\sqrt{x}}\, \mathrm d x $$	2
479	$$ \displaystyle\int 1+x\, \mathrm d x $$	2
480	$$ \displaystyle\int {\mathrm{e}}^{x}{\cdot}\cos\left(nx\right)\, \mathrm d x $$	2
481	$$ \displaystyle\int {x}^{4}{\cdot}\sqrt{{x}^{3}+1}\, \mathrm d x $$	2
482	$$ \displaystyle\int^{2}_{1} \sqrt{1+{\left(2{x}^{3}-\dfrac{1}{8{x}^{3}}\right)}^{2}}\, \mathrm d x $$	2
483	$$ \displaystyle\int^{0}_{9} \sqrt{4-\sqrt{x}}\, \mathrm d x $$	2
484	$$ \displaystyle\int^{9}_{0} \sqrt{4-\sqrt{x}}\, \mathrm d x $$	2
485	$$ \displaystyle\int \left(2x-3\right){\cdot}\sin\left(2x\right)\, \mathrm d x $$	2
486	$$ \displaystyle\int \dfrac{1}{x{\cdot}{\left(\ln\left(x\right)\right)}^{2}}\, \mathrm d x $$	2
487	$$ \displaystyle\int^{5}_{2} \sqrt{1+{\left({x}^{2}+\dfrac{1}{4}\right)}^{2}}\, \mathrm d x $$	2
488	$$ \displaystyle\int^{2}_{0} \sqrt{1+\sin\left(\dfrac{x}{2}\right)}\, \mathrm d x $$	2
489	$$ \displaystyle\int \dfrac{1}{{\left(1+{x}^{2}\right)}^{n}}\, \mathrm d x $$	2
490	$$ \displaystyle\int^{2}_{0} 2{\pi}{\cdot}\left(2x-{x}^{2}\right){\cdot}\sqrt{1+{\left(2-2x\right)}^{2}}\, \mathrm d x $$	2
491	$$ \displaystyle\int \dfrac{x}{\tan\left(2-3{x}^{2}\right)}\, \mathrm d x $$	2
492	$$ \displaystyle\int x{\cdot}\sqrt{x-11}\, \mathrm d x $$	2
493	$$ \displaystyle\int^{\infty }_{0} \dfrac{\sin\left(x\right){\cdot}\cos\left(x\right)}{x}\, \mathrm d x $$	2
494	$$ \displaystyle\int^{3}_{-3} \sqrt{4}-{x}^{2}\, \mathrm d x $$	2
495	$$ \displaystyle\int^{5}_{2} \sqrt{1+({x}^{4}-\dfrac{1}{2}+\dfrac{1}{16{x}^{4}})}\, \mathrm d x $$	2
496	$$ $$	2
497	$$ \displaystyle\int \cos\left(2\right)+2{\cdot}\sin\left(2\right)\, \mathrm d x $$	2
498	$$ \displaystyle\int 12x{\cdot}\ln\left(x\right)\, \mathrm d x $$	2
499	$$ \displaystyle\int^{16}_{4} \sqrt{1+x-4}\, \mathrm d x $$	2
500	$$ \displaystyle\int^{\infty }_{0} {\mathrm{e}}^{-{x}^{2}}\, \mathrm d x $$	2