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
1351	$$ \displaystyle\int^{\pi/2}_{0} \cos\left(1-\tan\left(\color{orangered}{\square}\right)\right)\, \mathrm d x $$	2
1352	$$ \displaystyle\int \ln\left(x-1\right)\, \mathrm d x $$	2
1353	$$ \displaystyle\int \dfrac{1}{x{\cdot}\ln\left(x\right)}\, \mathrm d x $$	2
1354	$$ \displaystyle\int^{5/9}_{0} \sqrt{1-\dfrac{81x}{4}}\, \mathrm d x $$	2
1355	$$ \displaystyle\int^{5/9}_{0} \sqrt{1-\dfrac{81}{4}{\cdot}x}\, \mathrm d x $$	2
1356	$$ \displaystyle\int^{5/9}_{0} \sqrt{1+\dfrac{81}{4}{\cdot}x}\, \mathrm d x $$	2
1357	$$ \displaystyle\int^{4}_{0} x{\cdot}\sin\left(\dfrac{{\pi}{\cdot}x}{4}\right)\, \mathrm d x $$	2
1358	$$ \displaystyle\int^{e}_{1} \left(1-\dfrac{\ln\left(x\right)}{x}\right){\cdot}\sqrt{{x}^{2}-2x+2}\, \mathrm d x $$	2
1359	$$ $$	2
1360	$$ \displaystyle\int 2{x}^{-1}\, \mathrm d x $$	2
1361	$$ $$	2
1362	$$ $$	2
1363	$$ $$	2
1364	$$ $$	2
1365	$$ $$	2
1366	$$ $$	2
1367	$$ $$	2
1368	$$ \displaystyle\int \dfrac{1}{x+5}\, \mathrm d x $$	2
1369	$$ \displaystyle\int^{\infty}_{0} {\mathrm{e}}^{-x}{\cdot}\cos\left(x\right)\, \mathrm d x $$	2
1370	$$ \displaystyle\int \dfrac{1}{{x}^{\frac{3}{2}}+8}\, \mathrm d x $$	2
1371	$$ \displaystyle\int \dfrac{{x}^{\frac{1}{2}}+1}{{x}^{\frac{3}{2}}+8}\, \mathrm d x $$	2
1372	$$ \displaystyle\int \dfrac{1}{x{\cdot}{\left(\ln\left(x\right)\right)}^{2}}\, \mathrm d x $$	2
1373	$$ \displaystyle\int^{1}_{-1} \dfrac{1}{2+\sin\left(x\right)}\, \mathrm d x $$	2
1374	$$ \displaystyle\int \dfrac{1}{5}-2x\, \mathrm d x $$	2
1375	$$ \displaystyle\int^{2\pi}_{0} \cos\left(x\right){\cdot}\sin\left(x\right)\, \mathrm d x $$	2
1376	$$ \displaystyle\int^{\pi}_{0} \cos\left(x\right){\cdot}\sin\left(x\right)\, \mathrm d x $$	2
1377	$$ $$	2
1378	$$ $$	2
1379	$$ \displaystyle\int \dfrac{8{a}^{3}}{\dfrac{2}{a}{\cdot}{\left({x}^{2}-\dfrac{60}{50}\right)}^{2}+4{a}^{2}}+0.28\, \mathrm d x $$	2
1380	$$ \displaystyle\int^{3.3431}_{0} -0.4167{x}^{2}-x+8\, \mathrm d x $$	2
1381	$$ \displaystyle\int^{2}_{0} 4{x}^{2}-{x}^{4}\, \mathrm d x $$	2
1382	$$ \displaystyle\int^{4}_{0} 2{\cdot}\left(0.5x-\sqrt{x}\right){\cdot}x\, \mathrm d x $$	2
1383	$$ \displaystyle\int^{1}_{0} {\left(1-{x}^{2}\right)}^{2}-{\left(1-\sqrt{x}\right)}^{2}\, \mathrm d x $$	2
1384	$$ \displaystyle\int^{1}_{0} 2x{\cdot}\left(\sqrt{x}-{x}^{2}\right)\, \mathrm d x $$	2
1385	$$ \displaystyle\int^{1}_{0} 2x{\cdot}\left({x}^{2}-\sqrt{x}\right)\, \mathrm d x $$	2
1386	$$ \displaystyle\int^{1}_{0} 2x{\cdot}\left({x}^{2}-\sqrt{x}\right){\cdot}\left(\sqrt{x}-{x}^{2}\right)\, \mathrm d x $$	2
1387	$$ \displaystyle\int^{1}_{0} 2x{\cdot}\left(\sqrt{x}-{x}^{2}\right)\, \mathrm d x $$	2
1388	$$ \displaystyle\int^{1}_{0} 2{\cdot}{\left(\sqrt{x}-{x}^{2}\right)}^{2}\, \mathrm d x $$	2
1389	$$ \displaystyle\int^{1}_{0} 2{\cdot}\left(1-x\right){\cdot}\left(\sqrt{x}-{x}^{2}\right)\, \mathrm d x $$	2
1390	$$ \displaystyle\int {x}^{3}{\cdot}\sqrt{5{x}^{2}+4}\, \mathrm d x $$	2
1391	$$ \displaystyle\int {x}^{5}{\cdot}\sqrt{1+{x}^{2}}\, \mathrm d x $$	2
1392	$$ $$	2
1393	$$ \displaystyle\int {\mathrm{e}}^{-x}\, \mathrm d x $$	2
1394	$$ $$	2
1395	$$ \displaystyle\int \left({x}^{2}-4\right){\cdot}\left(2x+3\right)\, \mathrm d x $$	2
1396	$$ \displaystyle\int 1+x\, \mathrm d x $$	2
1397	$$ \displaystyle\int \dfrac{{x}^{3}}{\sqrt{1-{x}^{2}}}\, \mathrm d x $$	2
1398	$$ \displaystyle\int^{\infty}_{1} \dfrac{1}{{x}^{5}}\, \mathrm d x $$	2
1399	$$ \displaystyle\int^{2}_{0} x{\cdot}\left(1-x\right)\, \mathrm d x $$	2
1400	$$ \displaystyle\int^{2}_{0} x{\cdot}\left(4-3x\right)\, \mathrm d x $$	2