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
1501	$$ \displaystyle\int^{2}_{0} 2{\pi}{\cdot}\left(\sqrt{x}{\cdot}\sqrt{1}+\dfrac{1}{4x}\right)\, \mathrm d x $$	2
1502	$$ \displaystyle\int^{11}_{3} \dfrac{1}{{\left(5x-9\right)}^{3}}\, \mathrm d x $$	2
1503	$$ \displaystyle\int x{\cdot}{\left(\sin\left(x\right)\right)}^{2}\, \mathrm d x $$	2
1504	$$ \displaystyle\int \dfrac{1}{\left(x+1\right){\cdot}\left(n-x\right)}\, \mathrm d x $$	2
1505	$$ \displaystyle\int \dfrac{7}{x}{\cdot}\sqrt{16{x}^{2}-64}\, \mathrm d x $$	2
1506	$$ \displaystyle\int^{\infty}_{0} \dfrac{{\mathrm{e}}^{\sin\left(x\right)}}{1+{x}^{2}}\, \mathrm d x $$	2
1507	$$ \displaystyle\int \dfrac{{x}^{2}+1}{{\left(x+1\right)}^{2}}\, \mathrm d x $$	2
1508	$$ \displaystyle\int \dfrac{1}{{x}^{2}+2}\, \mathrm d x $$	2
1509	$$ \displaystyle\int \dfrac{7{x}^{2}+7x+18}{{x}^{3}}+{x}^{2}+18\, \mathrm d x $$	2
1510	$$ \displaystyle\int \dfrac{7{x}^{2}+7x+18}{{x}^{3}+{x}^{2}+6x}\, \mathrm d x $$	2
1511	$$ \displaystyle\int^{2}_{0} 2{\pi}{\cdot}\left(2x-{x}^{2}\right){\cdot}\sqrt{1+{\left(2-2x\right)}^{2}}\, \mathrm d x $$	2
1512	$$ \displaystyle\int^{4}_{0} 3.14{\cdot}{\left(\sqrt{x}+1\right)}^{2}\, \mathrm d x $$	2
1513	$$ \displaystyle\int \dfrac{1}{{x}^{2}}\, \mathrm d x $$	2
1514	$$ \displaystyle\int^{100}_{-50} \ln\left(33333333\right){\cdot}\cos\left(44444\right){\cdot}\tan\left(7777\right){\cdot}x{\cdot}\sqrt{87}\, \mathrm d x $$	2
1515	$$ \displaystyle\int 12x{\cdot}\ln\left(x\right)\, \mathrm d x $$	2
1516	$$ \displaystyle\int {\left(\tanh\left(3x\right)\right)}^{n}\, \mathrm d x $$	2
1517	$$ \displaystyle\int^{\pi/3}_{0} \cos\left(x\right)\, \mathrm d x $$	2
1518	$$ \displaystyle\int \dfrac{-1}{{x}^{2}}\, \mathrm d x $$	2
1519	$$ \displaystyle\int {x}^{-2}\, \mathrm d x $$	2
1520	$$ \int \frac{{1}}{{{5}{x}^{{2}}+{3}}} \, d\,x $$	2
1521	$$ \displaystyle\int {\left(\sec\left(x\right)\right)}^{3}\, \mathrm d x $$	2
1522	$$ \int {2}\pi{x}^{{\frac{{1}}{{3}}}}{\left(\sqrt{{{1}+\frac{{1}}{{{9}{x}^{{\frac{{4}}{{3}}}}}}}}\right)} \, d\,x $$	2
1523	$$ \displaystyle\int \sin\left(n\right){\cdot}x\, \mathrm d x $$	2
1524	$$ \displaystyle\int {\left(1+6x\right)}^{4}{\cdot}6x\, \mathrm d x $$	2
1525	$$ \displaystyle\int {2}^{x}{\cdot}\cosh\left({2}^{x}\right)\, \mathrm d x $$	2
1526	$$ \displaystyle\int^{1}_{0} {\left(\sin\left(x\right)\right)}^{2}\, \mathrm d x $$	2
1527	$$ \displaystyle\int \dfrac{{\mathrm{e}}^{\mathrm{e}}{\cdot}x}{{\mathrm{e}}^{x}}+3\, \mathrm d x $$	2
1528	$$ \displaystyle\int \cos\left(\cos\left(x\right)\right)\, \mathrm d x $$	2
1529	$$ \displaystyle\int^{1.41}_{-0.637} \sin\left(x\right)-{x}^{2}+1\, \mathrm d x $$	2
1530	$$ \int \sqrt{{{1}+{x}^{{2}}}} \, d\,x $$	2
1531	$$ \int \frac{{1}}{{{\cos{{\left({x}\right)}}}^{{3}}}} \, d\,x $$	2
1532	$$ \displaystyle\int {x}^{4}{\cdot}\cos\left(x\right)\, \mathrm d x $$	2
1533	$$ $$	2
1534	$$ \displaystyle\int {\left(1+{x}^{3}\right)}^{n}{\cdot}{x}^{4}\, \mathrm d x $$	2
1535	$$ \displaystyle\int {\left(1+{x}^{3}\right)}^{2}{\cdot}{x}^{4}\, \mathrm d x $$	2
1536	$$ \displaystyle\int \sqrt{1+\sin\left(x\right)}\, \mathrm d x $$	2
1537	$$ \displaystyle\int \dfrac{x}{{\left(\sin\left(x\right)\right)}^{n}}\, \mathrm d x $$	2
1538	$$ \displaystyle\int^{4}_{1} \ln\left({x}^{2}-4x+5\right)-0.2x\, \mathrm d x $$	2
1539	$$ \displaystyle\int \sqrt{1+6x+{\left(\dfrac{1}{2{x}^{0.5}}\right)}^{2}}\, \mathrm d x $$	2
1540	$$ \displaystyle\int 5{x}^{4}+0.7\, \mathrm d x $$	2
1541	$$ \displaystyle\int {x}^{2}{\cdot}{\left({x}^{3}-8\right)}^{22}\, \mathrm d x $$	2
1542	$$ \displaystyle\int x{\cdot}{\left(2x+1\right)}^{15}\, \mathrm d x $$	2
1543	$$ \displaystyle\int^{4}_{0} \sqrt{1+4{x}^{2}}\, \mathrm d x $$	2
1544	$$ \displaystyle\int \arcsin\left(x\right)\, \mathrm d x $$	2
1545	$$ $$	2
1546	$$ $$	2
1547	$$ \displaystyle\int^{1}_{0} \dfrac{x-4}{{x}^{2}-5x+6}\, \mathrm d x $$	2
1548	$$ $$	2
1549	$$ $$	2
1550	$$ $$	2