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
1551	$$ \displaystyle\int \dfrac{8{\cdot}\left(x-1\right)}{\sqrt{{\left(2x-1\right)}^{3}}}\, \mathrm d x $$	2
1552	$$ \displaystyle\int \sqrt{2}{\cdot}x\, \mathrm d x $$	2
1553	$$ \displaystyle\int sq{\cdot}\sqrt{t}{\cdot}\left({x}^{2}-ax\right)\, \mathrm d x $$	2
1554	$$ \displaystyle\int \dfrac{1}{{\left(3{x}^{2}+1\right)}^{\frac{3}{2}}}\, \mathrm d x $$	2
1555	$$ \displaystyle\int {\left(50+25{\cdot}\cos\left(x\right)\right)}^{0.5}\, \mathrm d x $$	2
1556	$$ \displaystyle\int^{2\pi}_{0} {\left(50+25{\cdot}\cos\left(x\right)\right)}^{0.5}\, \mathrm d x $$	2
1557	$$ \displaystyle\int^{\pi}_{\pi/2} {\pi}-x\, \mathrm d x $$	2
1558	$$ \displaystyle\int^{\pi}_{--\pi} \cos\left(x\right)\, \mathrm d x $$	2
1559	$$ \displaystyle\int^{2}_{----1} {x}^{4}\, \mathrm d x $$	2
1560	$$ \displaystyle\int^{2}_{1.414} \dfrac{x}{{x}^{2}-1}\, \mathrm d x $$	2
1561	$$ \displaystyle\int^{0}_{\pi/6} \dfrac{\cos\left(x\right)}{1+2{\cdot}\sin\left(x\right)}\, \mathrm d x $$	2
1562	$$ \displaystyle\int^{\pi/6}_{0} \dfrac{\cos\left(x\right)}{1+2{\cdot}\sin\left(x\right)}\, \mathrm d x $$	2
1563	$$ \displaystyle\int^{1/6}_{0} \dfrac{1}{\sqrt{1-9{x}^{2}}}\, \mathrm d x $$	2
1564	$$ \displaystyle\int^{e}_{1} x{\cdot}\ln\left(x\right)\, \mathrm d x $$	2
1565	$$ \displaystyle\int^{\pi/2}_{0} x{\cdot}\sin\left(x\right)\, \mathrm d x $$	2
1566	$$ \displaystyle\int {\left(2{\cdot}\sin\left(x\right)-\sin\left(2\right){\cdot}x\right)}^{2}\, \mathrm d x $$	2
1567	$$ \displaystyle\int^{9}_{0} {\left(\sec\left(x\right)\right)}^{3}\, \mathrm d x $$	2
1568	$$ \displaystyle\int 5{\cdot}\cos\left(60{\pi}{\cdot}t\right)\, \mathrm d x $$	2
1569	$$ \displaystyle\int -4{\cdot}\left({x}^{3}+1\right){\cdot}{\left(x-3\right)}^{2}\, \mathrm d x $$	2
1570	$$ \displaystyle\int^{\infty}_{3} \dfrac{1}{x{\cdot}{\left(\ln\left(x\right)\right)}^{2}}\, \mathrm d x $$	2
1571	$$ \displaystyle\int^{\infty}_{1} \dfrac{x}{{\left(1+{x}^{2}\right)}^{2}}\, \mathrm d x $$	2
1572	$$ \displaystyle\int^{\infty}_{1} x{\cdot}{\mathrm{e}}^{-{x}^{2}}\, \mathrm d x $$	2
1573	$$ \displaystyle\int 20{\cdot}\cos\left(10t+\dfrac{{\pi}}{6}\right)\, \mathrm d x $$	2
1574	$$ \displaystyle\int^{\pi/2}_{0} {\left(\cos\left(\dfrac{x}{2}\right)\right)}^{2}\, \mathrm d x $$	2
1575	$$ \displaystyle\int^{\pi}_{0} {\mathrm{e}}^{\cos\left(x\right)}{\cdot}\sin\left(2x\right)\, \mathrm d x $$	2
1576	$$ $$	2
1577	$$ \displaystyle\int \sqrt{1+{x}^{2}}{\cdot}\sqrt{\sqrt{1+{x}^{4}}}\, \mathrm d x $$	2
1578	$$ $$	2
1579	$$ $$	2
1580	$$ $$	2
1581	$$ \displaystyle\int^{e}_{1} \ln\left(7x\right)\, \mathrm d x $$	2
1582	$$ \displaystyle\int^{9}_{3} \sqrt{1+x{\cdot}{\left({x}^{2}+2\right)}^{\frac{1}{2}}}\, \mathrm d x $$	2
1583	$$ $$	2
1584	$$ \displaystyle\int \mathrm{e}+1\, \mathrm d x $$	2
1585	$$ \displaystyle\int {x}^{\frac{3}{2}}\, \mathrm d x $$	2
1586	$$ \displaystyle\int \dfrac{1}{2}{\cdot}x\, \mathrm d x $$	2
1587	$$ \displaystyle\int \dfrac{2}{9}\, \mathrm d x $$	2
1588	$$ \displaystyle\int \dfrac{2x}{9}\, \mathrm d x $$	2
1589	$$ \displaystyle\int \dfrac{1}{1+\mathrm{e}{\cdot}x}\, \mathrm d x $$	2
1590	$$ \displaystyle\int^{2}_{1/2} 1+{\left(\dfrac{{x}^{2}}{2}-\dfrac{1}{2{x}^{2}}\right)}^{2}\, \mathrm d x $$	2
1591	$$ $$	2
1592	$$ $$	2
1593	$$ $$	2
1594	$$ $$	2
1595	$$ $$	2
1596	$$ \displaystyle\int^{\infty}_{0} \sqrt{x-2}{\cdot}{\mathrm{e}}^{\frac{-{\left(x-2\right)}^{3}}{5}}\, \mathrm d x $$	2
1597	$$ \displaystyle\int^{2}_{1} x{\cdot}\left(1+\dfrac{1}{x}-x\right)\, \mathrm d x $$	2
1598	$$ \displaystyle\int^{4}_{0} \dfrac{12}{\sqrt{6x+1}}\, \mathrm d x $$	2
1599	$$ \displaystyle\int^{2}_{----2} \dfrac{9}{s}{\cdot}q{\cdot}\sqrt{t}{\cdot}\left(5-2x\right)\, \mathrm d x $$	2
1600	$$ \displaystyle\int^{2}_{0} {x}^{2}\, \mathrm d x $$	2