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
1101	$$ \displaystyle\int^{3}_{-3} \sqrt{4}-{x}^{2}\, \mathrm d x $$	2
1102	$$ \displaystyle\int \sqrt{5}\, \mathrm d x $$	2
1103	$$ \displaystyle\int^{1}_{1} \cos\left(\cos\left(t\right)\right)\, \mathrm d x $$	2
1104	$$ \displaystyle\int^{5}_{1} \sqrt{5}\, \mathrm d x $$	2
1105	$$ $$	2
1106	$$ $$	2
1107	$$ $$	2
1108	$$ $$	2
1109	$$ \displaystyle\int^{\pi/2}_{0} \sin\left(\color{orangered}{\square}\right)\, \mathrm d x $$	2
1110	$$ \displaystyle\int^{\pi/6}_{0} \sin\left(\color{orangered}{\square}\right)\, \mathrm d x $$	2
1111	$$ \displaystyle\int \sin\left(5x\right){\cdot}\sin\left(12x\right)\, \mathrm d x $$	2
1112	$$ \displaystyle\int \sin\left(5x\right){\cdot}\sin\left(12x\right)\, \mathrm d x $$	2
1113	$$ \displaystyle\int^{2}_{0} {x}^{3}{\cdot}{\mathrm{e}}^{-x}\, \mathrm d x $$	2
1114	$$ $$	2
1115	$$ \displaystyle\int \sqrt{4-{x}^{2}}{\cdot}\left({x}^{3}{\cdot}\cos\left(\dfrac{x}{2}\right)+\dfrac{1}{2}\right)\, \mathrm d x $$	2
1116	$$ \displaystyle\int \dfrac{\sin\left(2x\right)}{4-x}\, \mathrm d x $$	2
1117	$$ \displaystyle\int \dfrac{1}{{\left(1+{x}^{2}\right)}^{n}}\, \mathrm d x $$	2
1118	$$ \displaystyle\int^{\pi/2}_{0} \sqrt{1+9{\cdot}{\left(\cos\left(3x\right)\right)}^{2}}\, \mathrm d x $$	2
1119	$$ \displaystyle\int \sqrt{1-\sin\left(\ln\left(x\right)\right)}\, \mathrm d x $$	2
1120	$$ $$	2
1121	$$ $$	2
1122	$$ $$	2
1123	$$ $$	2
1124	$$ \displaystyle\int \dfrac{32{x}^{3}}{\cos\left(2{x}^{4}+1\right)}\, \mathrm d x $$	2
1125	$$ \displaystyle\int \dfrac{32{x}^{3}}{\cos\left(2{x}^{4}+1\right)}\, \mathrm d x $$	2
1126	$$ \displaystyle\int \sqrt{10}{\cdot}x-1\, \mathrm d x $$	2
1127	$$ \displaystyle\int {\left(\sec\left(x\right)\right)}^{3}\, \mathrm d x $$	2
1128	$$ $$	2
1129	$$ $$	2
1130	$$ $$	2
1131	$$ $$	2
1132	$$ $$	2
1133	$$ $$	2
1134	$$ $$	2
1135	$$ $$	2
1136	$$ $$	2
1137	$$ $$	2
1138	$$ $$	2
1139	$$ $$	2
1140	$$ $$	2
1141	$$ $$	2
1142	$$ $$	2
1143	$$ \displaystyle\int {\mathrm{e}}^{x}{\cdot}\cos\left(nx\right)\, \mathrm d x $$	2
1144	$$ \displaystyle\int \cot\left(x\right)\, \mathrm d x $$	2
1145	$$ \displaystyle\int \sec\left(x\right)\, \mathrm d x $$	2
1146	$$ \displaystyle\int {\left(\csc\left(x\right)\right)}^{2}\, \mathrm d x $$	2
1147	$$ \displaystyle\int \csc\left(x\right){\cdot}\cot\left(x\right)\, \mathrm d x $$	2
1148	$$ \displaystyle\int \sec\left(x\right){\cdot}\tan\left(x\right)\, \mathrm d x $$	2
1149	$$ \displaystyle\int -\csc\left(x\right){\cdot}\cot\left(x\right)\, \mathrm d x $$	2
1150	$$ $$	2