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
1151	$$ \displaystyle\int \dfrac{\sqrt{x-{x}^{2}}}{{x}^{4}}\, \mathrm d x $$	2
1152	$$ $$	2
1153	$$ $$	2
1154	$$ \displaystyle\int \arctan\left(x\right)\, \mathrm d x $$	2
1155	$$ $$	2
1156	$$ $$	2
1157	$$ \displaystyle\int^{6}_{1} \mathrm{e}\, \mathrm d x $$	2
1158	$$ \displaystyle\int sqr\, \mathrm d x $$	2
1159	$$ $$	2
1160	$$ $$	2
1161	$$ $$	2
1162	$$ \displaystyle\int {x}^{-1}{\cdot}\sqrt{1+{x}^{-4}}\, \mathrm d x $$	2
1163	$$ $$	2
1164	$$ \displaystyle\int {x}^{4}{\cdot}\sqrt{{x}^{3}+1}\, \mathrm d x $$	2
1165	$$ \displaystyle\int^{\pi/2}_{0} \cos\left(2x\right){\cdot}\sin\left(x\right){\cdot}\sin\left(x\right)\, \mathrm d x $$	2
1166	$$ \displaystyle\int {\left(3-4x\right)}^{\frac{5}{2}}\, \mathrm d x $$	2
1167	$$ \displaystyle\int^{3}_{2} \sqrt{1+\dfrac{4}{{x}^{4}}}\, \mathrm d x $$	2
1168	$$ $$	2
1169	$$ \displaystyle\int^{2}_{0} {\mathrm{e}}^{2}{\cdot}x\, \mathrm d x $$	2
1170	$$ \displaystyle\int^{\pi/2}_{0} \dfrac{1}{1+\sin\left(2x\right)}\, \mathrm d x $$	2
1171	$$ $$	2
1172	$$ $$	2
1173	$$ $$	2
1174	$$ $$	2
1175	$$ $$	2
1176	$$ $$	2
1177	$$ \displaystyle\int^{1}_{3} 6{x}^{2}-3{\cdot}\sqrt{x}+4\, \mathrm d x $$	2
1178	$$ \displaystyle\int \cos\left(\color{orangered}{\square}\right)\, \mathrm d x $$	2
1179	$$ \displaystyle\int \dfrac{1}{x}{\cdot}\sin\left(x\right)\, \mathrm d x $$	2
1180	$$ \displaystyle\int^{52}_{2839} 6.28\, \mathrm d x $$	2
1181	$$ \displaystyle\int^{-3}_{-4} \dfrac{\ln\left(x\right)}{x+7}\, \mathrm d x $$	2
1182	$$ \displaystyle\int^{\pi}_{\pi/2} {\left(\csc\left(\dfrac{x}{2}\right)\right)}^{3}\, \mathrm d x $$	2
1183	$$ \displaystyle\int \sqrt{6}\, \mathrm d x $$	2
1184	$$ \displaystyle\int 984562\, \mathrm d x $$	2
1185	$$ \displaystyle\int^{2}_{0} \sqrt{1+{x}^{2}}\, \mathrm d x $$	2
1186	$$ \displaystyle\int \cos\left(3x+5\right)\, \mathrm d x $$	2
1187	$$ \displaystyle\int^{2}_{1} \sqrt{1+{\left({x}^{2}+\dfrac{1}{4}{\cdot}\ln\left(x\right)\right)}^{2}}\, \mathrm d x $$	2
1188	$$ \displaystyle\int^{2}_{1} \sqrt{1+{\left(2{x}^{3}-\dfrac{1}{8{x}^{3}}\right)}^{2}}\, \mathrm d x $$	2
1189	$$ \displaystyle\int^{5}_{2} \sqrt{1+{\left({x}^{2}+\dfrac{1}{4}\right)}^{2}}\, \mathrm d x $$	2
1190	$$ \displaystyle\int^{5}_{2} \sqrt{1+({x}^{4}-\dfrac{1}{2}+\dfrac{1}{16{x}^{4}})}\, \mathrm d x $$	2
1191	$$ \displaystyle\int^{16}_{4} \sqrt{1+x-4}\, \mathrm d x $$	2
1192	$$ \displaystyle\int \dfrac{x}{\tan\left(2-3{x}^{2}\right)}\, \mathrm d x $$	2
1193	$$ \displaystyle\int \dfrac{1}{{\left(\sin\left(x\right)\right)}^{3}}\, \mathrm d x $$	2
1194	$$ \displaystyle\int \dfrac{1}{1+\sqrt{x}}\, \mathrm d x $$	2
1195	$$ \displaystyle\int \dfrac{1}{\sqrt{1-{x}^{2}-1{x}^{3}}}\, \mathrm d x $$	2
1196	$$ \displaystyle\int \dfrac{x}{{\left({x}^{2}+{a}^{2}\right)}^{\frac{3}{2}}}\, \mathrm d x $$	2
1197	$$ \displaystyle\int {\left(2x+3\right)}^{0.6}\, \mathrm d x $$	2
1198	$$ \displaystyle\int^{\pi/4}_{0} {\left(\sin\left(2x\right)\right)}^{4}\, \mathrm d x $$	2
1199	$$ \displaystyle\int^{\pi/2}_{0} {\left(\sin\left(x\right)\right)}^{4}{\cdot}{\left(\cos\left(x\right)\right)}^{4}\, \mathrm d x $$	2
1200	$$ \displaystyle\int^{\pi/2}_{0} {\left(\sin\left(x\right)\right)}^{5}{\cdot}x\, \mathrm d x $$	2