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	$$ \displaystyle\int \ln\left(\sin\left(x\sqrtight)\sqrtight)\, \mathsqrtm d x $$	2
1502	$$ \displaystyle\int \sqrt{x}\, \mathrm d x $$	2
1503	$$ \displaystyle\int^{\infty}_{-\infty} \dfrac{1}{{x}^{2}+2x+5}\, \mathrm d x $$	2
1504	$$ \displaystyle\int \dfrac{1}{{x}^{5}}\, \mathrm d x $$	2
1505	$$ \displaystyle\int \dfrac{x}{{\left(\sqrt{x}\right)}^{2}+4}\, \mathrm d x $$	2
1506	$$ \displaystyle\int \dfrac{x}{{\left({x}^{2}+4\right)}^{\frac{1}{2}}}\, \mathrm d x $$	2
1507	$$ \displaystyle\int^{0}_{-\infty} {\mathrm{e}}^{3x}\, \mathrm d x $$	2
1508	$$ $$	2
1509	$$ \displaystyle\int \tan\left(\color{orangered}{\square}\right)\, \mathrm d x $$	2
1510	$$ x $$	2
1511	$$ x $$	2
1512	$$ \displaystyle\int \dfrac{1}{{x}^{3}}\, \mathrm d x $$	2
1513	$$ \displaystyle\int^{\pi}_{-\pi} \sin\left(2\right){\cdot}x{\cdot}\cos\left(x\right)\, \mathrm d x $$	2
1514	$$ \displaystyle\int^{\pi}_{-\pi} \sin\left(2\right){\cdot}x{\cdot}\cos\left(2\right){\cdot}x\, \mathrm d x $$	2
1515	$$ $$	2
1516	$$ $$	2
1517	$$ $$	2
1518	$$ \displaystyle\int^{10}_{0} {x}^{8}-126\, \mathrm d x $$	2
1519	$$ \displaystyle\int \dfrac{\sqrt{4-{x}^{2}}}{x}\, \mathrm d x $$	2
1520	$$ \displaystyle\int {\left({x}^{2}-1\right)}^{\frac{1}{2}}\, \mathrm d x $$	2
1521	$$ \displaystyle\int \dfrac{{x}^{2}}{2}\, \mathrm d x $$	2
1522	$$ \displaystyle\int {\left({x}^{2}+2\right)}^{\frac{3}{2}}\, \mathrm d x $$	2
1523	$$ \displaystyle\int^{9}_{1} \dfrac{5}{\sqrt{x}{\cdot}{\left(\sqrt{x}+1\right)}^{2}}\, \mathrm d x $$	2
1524	$$ \displaystyle\int \left(2x+1\right){\cdot}\sqrt{{x}^{2}+x+1}\, \mathrm d x $$	2
1525	$$ \displaystyle\int \dfrac{{x}^{2}-2}{{x}^{4}+4}\, \mathrm d x $$	2
1526	$$ \displaystyle\int \dfrac{1}{\sqrt{x{\cdot}\left(1-2x\right)}}\, \mathrm d x $$	2
1527	$$ \displaystyle\int^{0}_{1} \dfrac{1}{2+{x}^{2}}\, \mathrm d x $$	2
1528	$$ \displaystyle\int^{9}_{4} \dfrac{{\left({x}^{\frac{1}{2}}+3\right)}^{2}}{2{x}^{\frac{1}{2}}}\, \mathrm d x $$	2
1529	$$ \displaystyle\int \sqrt{25}-{x}^{2}\, \mathrm d x $$	2
1530	$$ \displaystyle\int {\left(25-{x}^{2}\right)}^{\frac{1}{2}}\, \mathrm d x $$	2
1531	$$ \displaystyle\int \cos\left(-7r\right)\, \mathrm d x $$	2
1532	$$ \displaystyle\int \sin\left(-7x\right)\, \mathrm d x $$	2
1533	$$ \displaystyle\int 47x{\cdot}{\left(\cos\left(x\right)\right)}^{2}\, \mathrm d x $$	2
1534	$$ \displaystyle\int \dfrac{{x}^{3}}{2x-1}\, \mathrm d x $$	2
1535	$$ \displaystyle\int {\left(\sin\left(5x\right)\right)}^{2}\, \mathrm d x $$	2
1536	$$ $$	2
1537	$$ \displaystyle\int \dfrac{{\mathrm{e}}^{x}}{{\mathrm{e}}^{x}}\, \mathrm d x $$	2
1538	$$ \displaystyle\int 10{\cdot}\sqrt{\sin\left(x\right)}\, \mathrm d x $$	2
1539	$$ $$	2
1540	$$ \displaystyle\int {\mathrm{e}}^{-x}{\cdot}\sin\left(x\right)\, \mathrm d x $$	2
1541	$$ $$	2
1542	$$ \displaystyle\int \dfrac{{x}^{2}}{{x}^{4}+1}\, \mathrm d x $$	2
1543	$$ \displaystyle\int^{6}_{0} 3{x}^{2}-6x-3\, \mathrm d x $$	2
1544	$$ \displaystyle\int^{6}_{0} 3{x}^{2}+6x-3\, \mathrm d x $$	2
1545	$$ \displaystyle\int^{6}_{0} 3{x}^{2}+6x+3\, \mathrm d x $$	2
1546	$$ \displaystyle\int {x}^{2}{\cdot}\ln\left(1+x\right)\, \mathrm d x $$	2
1547	$$ \displaystyle\int^{10}_{0} 3{x}^{2}-2x+1\, \mathrm d x $$	2
1548	$$ \displaystyle\int^{5}_{0} -{x}^{3}+3{x}^{2}-2x+6\, \mathrm d x $$	2
1549	$$ $$	2
1550	$$ \displaystyle\int \dfrac{8{\cdot}\left(x-1\right)}{\sqrt{{\left(2x-1\right)}^{3}}}\, \mathrm d x $$	2