Integrals – Solved Problems Database

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

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ID	Problem	Count
551	$$ \displaystyle\int \sec\left(x\right)\, \mathrm d x $$	2
552	$$ \displaystyle\int \mathrm{e}^{3x}\, \mathrm d x $$	2
553	$$ \displaystyle\int \dfrac{1}{\left({x}^{4}+1\right){\cdot}{x}^{2}}\, \mathrm d x $$	2
554	$$ \displaystyle\int \sqrt{{x}^{2}+1}\, \mathrm d x $$	2
555	$$ \displaystyle\int^{2}_{0} {x}^{2}{\cdot}\sqrt{8-{x}^{2}}\, \mathrm d x $$	2
556	$$ \displaystyle\int^{2}_{0} 2{\pi}{\cdot}\left(\sqrt{x}{\cdot}\sqrt{1}+\dfrac{1}{4x}\right)\, \mathrm d x $$	2
557	$$ \displaystyle\int sqr\, \mathrm d x $$	2
558	$$ \displaystyle\int \dfrac{{x}^{2}-3x+2}{x+1}\, \mathrm d x $$	2
559	$$ \displaystyle\int \mathrm{e}^{-x}\, \mathrm d x $$	2
560	$$ \displaystyle\int^{1}_{0} {\left(\sin\left(x\right)\right)}^{2}\, \mathrm d x $$	2
561	$$ \displaystyle\int \mathrm{e}^{-ax}\, \mathrm d x $$	2
562	$$ \displaystyle\int^{\pi/4}_{0} \sqrt{1+\cos\left(4x\right)}\, \mathrm d x $$	2
563	$$ \displaystyle\int {\left(3-4x\right)}^{\frac{5}{2}}\, \mathrm d x $$	2
564	$$ \displaystyle\int {\left(\csc\left(x\right)\right)}^{2}\, \mathrm d x $$	2
565	$$ \displaystyle\int \dfrac{4{\cdot}\cos\left(x\right)}{{\left(\sin\left(x\right)\right)}^{2}-4}\, \mathrm d x $$	2
566	$$ \displaystyle\int \csc\left(x\right){\cdot}\cot\left(x\right)\, \mathrm d x $$	2
567	$$ \displaystyle\int {\mathrm{e}}^{-1.22{\cdot}\cosh\left(x\right)}\, \mathrm d x $$	2
568	$$ \displaystyle\int \sqrt{5}\, \mathrm d x $$	2
569	$$ \displaystyle\int^{3}_{1} x\, \mathrm d x $$	2
570	$$ $$	2
571	$$ \displaystyle\int \sin\left(2\right){\cdot}x+\cos\left(2\right){\cdot}x\, \mathrm d x $$	2
572	$$ \displaystyle\int \sqrt{6}\, \mathrm d x $$	2
573	$$ \displaystyle\int \dfrac{a}{{x}^{2}+{a}^{2}}\, \mathrm d x $$	2
574	$$ \displaystyle\int -\csc\left(x\right){\cdot}\cot\left(x\right)\, \mathrm d x $$	2
575	$$ \displaystyle\int \left({x}^{2}+2x\right){\cdot}\mathrm{e}^{3x}\, \mathrm d x $$	2
576	$$ $$	2
577	$$ \displaystyle\int \cos\left(\dfrac{n{\cdot}{\pi}{\cdot}x}{2}\right)\, \mathrm d x $$	2
578	$$ \displaystyle\int -x+(\dfrac{2}{{x}^{2}+x+2})\, \mathrm d x $$	2
579	$$ $$	2
580	$$ $$	2
581	$$ $$	2
582	$$ \displaystyle\int \dfrac{1}{\left(1+{x}^{3}\right){\cdot}\left(1+{x}^{2}\right)}\, \mathrm d x $$	2
583	$$ \displaystyle\int \dfrac{-x+2}{{x}^{2}+x+2}\, \mathrm d x $$	2
584	$$ \displaystyle\int^{3}_{0} \dfrac{1}{\sqrt{9-{x}^{2}}}\, \mathrm d x $$	2
585	$$ $$	2
586	$$ $$	2
587	$$ $$	2
588	$$ \displaystyle\int^{4}_{1} \ln\left({x}^{2}-4x+5\right)-0.2x\, \mathrm d x $$	2
589	$$ $$	2
590	$$ \displaystyle\int \dfrac{x}{{\mathrm{e}}^{2}}\, \mathrm d x $$	2
591	$$ \displaystyle\int \dfrac{1}{x{\cdot}\ln\left(x\right)}\, \mathrm d x $$	2
592	$$ \displaystyle\int \dfrac{x}{{\mathrm{e}}^{2}}{\cdot}x\, \mathrm d x $$	2
593	$$ \displaystyle\int \sqrt{x}{\cdot}\color{orangered}{\square}\, \mathrm d x $$	2
594	$$ $$	2
595	$$ \displaystyle\int^{\pi/4}_{0} {\left(\sin\left(2x\right)\right)}^{4}\, \mathrm d x $$	2
596	$$ \displaystyle\int^{1}_{0} 2{\pi}{\cdot}\left(\sqrt{1}-x\right){\cdot}\left(1+x\right)\, \mathrm d x $$	2
597	$$ $$	2
598	$$ $$	2
599	$$ $$	2
600	$$ \displaystyle\int {\left(16{x}^{2}+4\right)}^{\frac{3}{2}}\, \mathrm d x $$	2