Integrals – Solved Problems Database

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

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ID	Problem	Count
401	$$ \displaystyle\int x{\cdot}\sin\left(x\right)\, \mathrm d x $$	2
402	$$ \displaystyle\int^{\pi/2}_{0} {\left(\sin\left(2\right){\cdot}x\right)}^{12}{\cdot}\cos\left(2\right){\cdot}x\, \mathrm d x $$	2
403	$$ \displaystyle\int \left(2-x\right){\cdot}\left(3x-2{x}^{4}\right)\, \mathrm d x $$	2
404	$$ \displaystyle\int^{2\pi}_{0} \cos\left(x\right){\cdot}\sin\left(x\right)\, \mathrm d x $$	2
405	$$ \displaystyle\int \dfrac{1}{{\left(x+1\right)}^{\frac{3}{5}}}{\cdot}\dfrac{1}{{\left(x-4\right)}^{\frac{7}{5}}}\, \mathrm d x $$	2
406	$$ \displaystyle\int \cos\left(5x-3\right)\, \mathrm d x $$	2
407	$$ \displaystyle\int {\mathrm{e}}^{\frac{3-2x}{3}}\, \mathrm d x $$	2
408	$$ \displaystyle\int x{\cdot}\cos\left(x\right)\, \mathrm d x $$	2
409	$$ \displaystyle\int^{\pi}_{0} \cos\left(x\right){\cdot}\sin\left(x\right)\, \mathrm d x $$	2
410	$$ \displaystyle\int \dfrac{1}{{\left(x+1\right)}^{\frac{3}{5}}{\cdot}{\left(x-4\right)}^{\frac{7}{5}}}\, \mathrm d x $$	2
411	$$ \displaystyle\int^{2\pi}_{0} x{\cdot}\cos\left(x\right)\, \mathrm d x $$	2
412	$$ \displaystyle\int^{2\pi}_{0} x{\cdot}\sin\left(x\right)\, \mathrm d x $$	2
413	$$ \displaystyle\int {\left(\ln\left(x-2\right)\right)}^{3}\, \mathrm d x $$	2
414	$$ $$	2
415	$$ \displaystyle\int \mathrm{e}^{\cos\left(x\right)}{\cdot}\sin\left(x\right)\, \mathrm d x $$	2
416	$$ \displaystyle\int^{\infty}_{0} \dfrac{{\mathrm{e}}^{\sin\left(x\right)}}{1+{x}^{2}}\, \mathrm d x $$	2
417	$$ \displaystyle\int^{2\pi}_{0} x{\cdot}\sin\left(2x\right)\, \mathrm d x $$	2
418	$$ \displaystyle\int {x}^{2}{\cdot}{\left(x-2\right)}^{\frac{3}{2}}\, \mathrm d x $$	2
419	$$ \displaystyle\int \sin\left(3x\right)\, \mathrm d x $$	2
420	$$ \displaystyle\int^{2\pi}_{0} x{\cdot}\cos\left(2x\right)\, \mathrm d x $$	2
421	$$ $$	2
422	$$ \displaystyle\int^{2}_{0} {\mathrm{e}}^{2}{\cdot}x\, \mathrm d x $$	2
423	$$ \displaystyle\int 4{\cdot}\sqrt{\tan\left(\color{orangered}{\square}\right)}\, \mathrm d x $$	2
424	$$ \displaystyle\int \cos\left(3x\right)\, \mathrm d x $$	2
425	$$ \displaystyle\int {2}^{x}{\cdot}\cosh\left({2}^{x}\right)\, \mathrm d x $$	2
426	$$ $$	2
427	$$ \displaystyle\int \left(x-1\right){\cdot}\cos\left(3x\right)\, \mathrm d x $$	2
428	$$ \displaystyle\int^{2\pi}_{0} \dfrac{x{\cdot}\cos\left(x\right)}{{\pi}}\, \mathrm d x $$	2
429	$$ \displaystyle\int \left(3{x}^{3}-2x\right){\cdot}\left(3{x}^{3}-2{x}^{4}\right)\, \mathrm d x $$	2
430	$$ \displaystyle\int^{\pi/3}_{0} \cos\left(x\right)\, \mathrm d x $$	2
431	$$ \displaystyle\int \sqrt{3-2}{\cdot}{x}^{2}\, \mathrm d x $$	2
432	$$ \displaystyle\int \sqrt{\tan\left(x\right)}\, \mathrm d x $$	2
433	$$ \displaystyle\int {\mathrm{e}}^{x}-1\, \mathrm d x $$	2
434	$$ \displaystyle\int^{2\pi}_{0} \dfrac{x{\cdot}\sin\left(x\right)}{{\pi}}\, \mathrm d x $$	2
435	$$ $$	2
436	$$ \displaystyle\int {\left(1+6x\right)}^{4}{\cdot}6x\, \mathrm d x $$	2
437	$$ \displaystyle\int^{2\pi}_{0} \dfrac{x}{{\pi}}\, \mathrm d x $$	2
438	$$ $$	2
439	$$ \displaystyle\int^{\infty}_{0} {\mathrm{e}}^{-x}{\cdot}\cos\left(x\right)\, \mathrm d x $$	2
440	$$ $$	2
441	$$ \displaystyle\int^{2\pi}_{0} \dfrac{x{\cdot}\sin\left(2x\right)}{{\pi}}\, \mathrm d x $$	2
442	$$ $$	2
443	$$ \displaystyle\int^{2\pi}_{0} \dfrac{x{\cdot}\sin\left(3x\right)}{{\pi}}\, \mathrm d x $$	2
444	$$ $$	2
445	$$ \displaystyle\int 3{x}^{2}-2x+2\, \mathrm d x $$	2
446	$$ \displaystyle\int^{2\pi}_{0} \dfrac{x{\cdot}\sin\left(4x\right)}{{\pi}}\, \mathrm d x $$	2
447	$$ \displaystyle\int \dfrac{6{x}^{2}-2}{{x}^{3}-x}\, \mathrm d x $$	2
448	$$ $$	2
449	$$ \displaystyle\int \tan\left(x\right)\, \mathrm d x $$	2
450	$$ \displaystyle\int \dfrac{32{x}^{3}}{\cos\left(2{x}^{4}+1\right)}\, \mathrm d x $$	2