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
1301	$$ \displaystyle\int \cos\left(\color{orangered}{\square}\right)\, \mathrm d x $$	2
1302	$$ \displaystyle\int \cos\left(\colosqsqrtt{osqsqrttangesqsqrtted}{\squasqsqrtte}\sqsqrttight)\, \mathsqsqrttm d x $$	2
1303	$$ \displaystyle\int^{1}_{0} \dfrac{x}{{x}^{2}+1}\, \mathrm d x $$	2
1304	$$ \displaystyle\int \dfrac{1}{{x}^{2}+2x}\, \mathrm d x $$	2
1305	$$ \displaystyle\int \dfrac{{x}^{2}+1}{x{\cdot}{\left(x+1\right)}^{2}}\, \mathrm d x $$	2
1306	$$ \displaystyle\int^{2}_{0} \dfrac{x+1}{\left(x+2\right){\cdot}\left(x+3\right)}\, \mathrm d x $$	2
1307	$$ \displaystyle\int^{3}_{2} \dfrac{{x}^{2}}{{\left(x-1\right)}^{2}}\, \mathrm d x $$	2
1308	$$ \displaystyle\int^{1}_{0} \dfrac{4x+1}{{\left(x+1\right)}^{2}{\cdot}\left(x-2\right)}\, \mathrm d x $$	2
1309	$$ \displaystyle\int^{3}_{2} \dfrac{1}{x{\cdot}\ln\left(x\right)}\, \mathrm d x $$	2
1310	$$ \displaystyle\int^{1}_{0} \dfrac{1-{\mathrm{e}}^{-3x}}{1+{\mathrm{e}}^{-3x}}\, \mathrm d x $$	2
1311	$$ \displaystyle\int x{\cdot}{\mathrm{e}}^{-x}\, \mathrm d x $$	2
1312	$$ \displaystyle\int x{\cdot}\cos\left(2x\right)\, \mathrm d x $$	2
1313	$$ \displaystyle\int^{2}_{0} \left(1-x\right){\cdot}{\mathrm{e}}^{2x}\, \mathrm d x $$	2
1314	$$ \displaystyle\int^{5}_{1} \ln\left(x\right)\, \mathrm d x $$	2
1315	$$ \displaystyle\int^{3}_{1} \dfrac{\sqrt{x}}{{\left(1+x\right)}^{2}}\, \mathrm d x $$	2
1316	$$ \displaystyle\int \sqrt{3}{\cdot}{x}^{2}\, \mathrm d x $$	2
1317	$$ \displaystyle\int^{9}_{2} \sqsqrtt{3}{\cdot}{x}^{2}\, \mathsqrtm d x $$	2
1318	$$ \displaystyle\int^{\pi/4}_{0} {\left(\sin\left(x\right)\right)}^{5}\, \mathrm d x $$	2
1319	$$ \displaystyle\int 6{\cdot}\tan\left(x\right){\cdot}{\left(\sec\left(x\right)\right)}^{3}\, \mathrm d x $$	2
1320	$$ $$	2
1321	$$ \displaystyle\int \dfrac{{x}^{3}}{x}+1\, \mathrm d x $$	2
1322	$$ \displaystyle\int \dfsqrtac{5x-3}{\sqsqrtt{1}}+4x-2{x}^{2}\, \mathsqrtm d x $$	2
1323	$$ \displaystyle\int \dfrac{4x}{\sqrt{1-{x}^{4}}}\, \mathrm d x $$	2
1324	$$ \displaystyle\int \dfrac{\mathrm{e}^{-{x}^{2}}}{\sqrt{x}}\, \mathrm d x $$	2
1325	$$ \displaystyle\int \dfrac{\mathrm{e}^{-{x}^{2}+i{\cdot}cx}}{s}{\cdot}q{\cdot}\sqrt{t}{\cdot}x\, \mathrm d x $$	2
1326	$$ \displaystyle\int \dfrac{\mathrm{e}^{-{x}^{2}+i{\cdot}cx}}{\sqrt{x}}\, \mathrm d x $$	2
1327	$$ \displaystyle\int \left({x}^{2}+1\right){\cdot}{\mathrm{e}}^{-x}\, \mathrm d x $$	2
1328	$$ $$	2
1329	$$ \displaystyle\int \dfrac{1}{1+\sin\left(x\right)}\, \mathrm d x $$	2
1330	$$ \displaystyle\int^{e}_{1} \dfrac{\ln\left(1+x\right)}{{x}^{2}}\, \mathrm d x $$	2
1331	$$ \displaystyle\int \dfrac{{\mathrm{e}}^{x}}{{x}^{2}}\, \mathrm d x $$	2
1332	$$ \displaystyle\int \sin\left(x\right){\cdot}\cos\left(x\right)\, \mathrm d x $$	2
1333	$$ \displaystyle\int \dfrac{1}{\sqrt{x}{\cdot}\left(1-3{\cdot}\sqrt{x}\right)}\, \mathrm d x $$	2
1334	$$ \int {x}\sqrt{{3}}{x}-{1} \, d\,x $$	2
1335	$$ $$	2
1336	$$ \int {x}-{5}{\cos{{\left(\frac{{x}}{{2}}\right)}}} \, d\,x $$	2
1337	$$ $$	2
1338	$$ \displaystyle\int {\left(\cos\left(x\right)\right)}^{-0.5}\, \mathrm d x $$	2
1339	$$ \displaystyle\int 3{x}^{5}-{2}^{3}\, \mathrm d x $$	2
1340	$$ \displaystyle\int \dfrac{{\left(x-1\right)}^{2}}{{x}^{4}}+{x}^{-2}\, \mathrm d x $$	2
1341	$$ \displaystyle\int 67966\, \mathrm d x $$	2
1342	$$ \displaystyle\int \dfrac{1}{\left(x-1\right){\cdot}\sqrt{{x}^{2}-x}}\, \mathrm d x $$	2
1343	$$ $$	2
1344	$$ $$	2
1345	$$ $$	2
1346	$$ $$	2
1347	$$ $$	2
1348	$$ $$	2
1349	$$ \displaystyle\int 6{\pi}{\cdot}\cos\left({\pi}{\cdot}x\right)\, \mathrm d x $$	2
1350	$$ $$	2