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
1201	$$ \displaystyle\int^{2}_{0} \sqrt{1+{x}^{2}}\, \mathrm d x $$	2
1202	$$ \displaystyle\int \cos\left(3x+5\right)\, \mathrm d x $$	2
1203	$$ \displaystyle\int^{2}_{1} \sqrt{1+{\left({x}^{2}+\dfrac{1}{4}{\cdot}\ln\left(x\right)\right)}^{2}}\, \mathrm d x $$	2
1204	$$ \displaystyle\int^{2}_{1} \sqrt{1+{\left(2{x}^{3}-\dfrac{1}{8{x}^{3}}\right)}^{2}}\, \mathrm d x $$	2
1205	$$ \displaystyle\int^{5}_{2} \sqrt{1+{\left({x}^{2}+\dfrac{1}{4}\right)}^{2}}\, \mathrm d x $$	2
1206	$$ \displaystyle\int^{5}_{2} \sqrt{1+({x}^{4}-\dfrac{1}{2}+\dfrac{1}{16{x}^{4}})}\, \mathrm d x $$	2
1207	$$ \displaystyle\int^{16}_{4} \sqrt{1+x-4}\, \mathrm d x $$	2
1208	$$ \displaystyle\int \dfrac{x}{\tan\left(2-3{x}^{2}\right)}\, \mathrm d x $$	2
1209	$$ \displaystyle\int \dfrac{1}{{\left(\sin\left(x\right)\right)}^{3}}\, \mathrm d x $$	2
1210	$$ \displaystyle\int \dfrac{1}{1+\sqrt{x}}\, \mathrm d x $$	2
1211	$$ \displaystyle\int \dfrac{1}{\sqrt{1-{x}^{2}-1{x}^{3}}}\, \mathrm d x $$	2
1212	$$ \displaystyle\int \dfrac{x}{{\left({x}^{2}+{a}^{2}\right)}^{\frac{3}{2}}}\, \mathrm d x $$	2
1213	$$ \displaystyle\int {\left(2x+3\right)}^{0.6}\, \mathrm d x $$	2
1214	$$ \displaystyle\int^{\pi/4}_{0} {\left(\sin\left(2x\right)\right)}^{4}\, \mathrm d x $$	2
1215	$$ \displaystyle\int^{\pi/2}_{0} {\left(\sin\left(x\right)\right)}^{4}{\cdot}{\left(\cos\left(x\right)\right)}^{4}\, \mathrm d x $$	2
1216	$$ \displaystyle\int^{\pi/2}_{0} {\left(\sin\left(x\right)\right)}^{5}{\cdot}x\, \mathrm d x $$	2
1217	$$ \displaystyle\int^{\pi/2}_{0} {\left(\sin\left(x\right)\right)}^{5}\, \mathrm d x $$	2
1218	$$ \displaystyle\int \dfrac{6x+4}{\sqrt{2x+1}}\, \mathrm d x $$	2
1219	$$ \displaystyle\int \left(1+x\right){\cdot}{\mathrm{e}}^{x}\, \mathrm d x $$	2
1220	$$ $$	2
1221	$$ $$	2
1222	$$ $$	2
1223	$$ \displaystyle\int \sqrt{2}-3x\, \mathrm d x $$	2
1224	$$ \displaystyle\int {\left(2x+4\right)}^{3}\, \mathrm d x $$	2
1225	$$ \displaystyle\int x{\cdot}\sqrt{x-11}\, \mathrm d x $$	2
1226	$$ \displaystyle\int \dfrac{2{t}^{3}}{\sqrt{{t}^{4}-8}}\, \mathrm d x $$	2
1227	$$ \displaystyle\int^{5}_{4} \dfrac{2{t}^{3}}{\sqrt{{t}^{4}-8}}\, \mathrm d x $$	2
1228	$$ \displaystyle\int^{2.71828}_{1} \dfrac{1}{x}\, \mathrm d x $$	2
1229	$$ \displaystyle\int^{2.7182}_{1} x\, \mathrm d x $$	2
1230	$$ \displaystyle\int^{2.7e182}_{1} x\, \mathrm d x $$	2
1231	$$ \displaystyle\int^{e}_{1} x\, \mathrm d x $$	2
1232	$$ $$	2
1233	$$ $$	2
1234	$$ $$	2
1235	$$ $$	2
1236	$$ \displaystyle\int \cos\left(\dfrac{n{\cdot}{\pi}{\cdot}x}{2}\right)\, \mathrm d x $$	2
1237	$$ \displaystyle\int^{81}_{25} \dfrac{\sqrt{x}}{x-4}\, \mathrm d x $$	2
1238	$$ \displaystyle\int^{64}_{25} \dfrac{\sqrt{x}}{x-4}\, \mathrm d x $$	2
1239	$$ \displaystyle\int^{3}_{0} \dfrac{1}{\sqrt{9-{x}^{2}}}\, \mathrm d x $$	2
1240	$$ \displaystyle\int -x{\cdot}{\mathrm{e}}^{-x}\, \mathrm d x $$	2
1241	$$ \displaystyle\int x-\dfrac{1}{{x}^{3}}\, \mathrm d x $$	2
1242	$$ \displaystyle\int \dfrac{1}{{x}^{3}{\cdot}\sqrt{{x}^{2}-4}}\, \mathrm d x $$	2
1243	$$ \displaystyle\int \left(x+1\right){\cdot}\sqrt{2-x}\, \mathrm d x $$	2
1244	$$ \displaystyle\int 6140x{\cdot}{\mathrm{e}}^{-0.904}\, \mathrm d x $$	2
1245	$$ \displaystyle\int \cos\left(3x\right){\cdot}\cos\left(5x\right)\, \mathrm d x $$	2
1246	$$ \displaystyle\int \sin\left(\color{orangered}{\square}\right)\, \mathrm d x $$	2
1247	$$ $$	2
1248	$$ \displaystyle\int^{1}_{0} 2{\pi}{\cdot}\left(\sqrt{1}-x\right){\cdot}\left(1+x\right)\, \mathrm d x $$	2
1249	$$ $$	2
1250	$$ \displaystyle\int \dfrac{{\mathrm{e}}^{{x}^{\frac{1}{3}}}{\cdot}{2}^{{\mathrm{e}}^{{x}^{\frac{1}{3}}}}}{{x}^{\frac{2}{3}}}\, \mathrm d x $$	2