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	$$ \displaystyle\int \dfrac{\cos\left(x\right)}{\sin\left(\color{orangered}{\square}\right)}\, \mathrm d x $$	2
1552	$$ \displaystyle\int \dfrac{1}{-\left(1+{\left(\sin\left(x\right)\right)}^{2}\right){\cdot}x}\, \mathrm d x $$	2
1553	$$ $$	2
1554	$$ $$	2
1555	$$ $$	2
1556	$$ $$	2
1557	$$ $$	2
1558	$$ \displaystyle\int {x}^{2}{\cdot}\sin\left(x\right){\cdot}x{\cdot}\sin\left(x\right)\, \mathrm d x $$	2
1559	$$ \displaystyle\int x{\cdot}\sin\left(x\right)\, \mathrm d x $$	2
1560	$$ \displaystyle\int x{\cdot}\cos\left(x\right)\, \mathrm d x $$	2
1561	$$ \displaystyle\int^{2\pi}_{0} x{\cdot}\cos\left(x\right)\, \mathrm d x $$	2
1562	$$ \displaystyle\int^{2\pi}_{0} x{\cdot}\sin\left(x\right)\, \mathrm d x $$	2
1563	$$ \displaystyle\int^{2\pi}_{0} x{\cdot}\sin\left(2x\right)\, \mathrm d x $$	2
1564	$$ \displaystyle\int^{2\pi}_{0} x{\cdot}\cos\left(2x\right)\, \mathrm d x $$	2
1565	$$ \displaystyle\int^{2\pi}_{0} \dfrac{x{\cdot}\cos\left(x\right)}{{\pi}}\, \mathrm d x $$	2
1566	$$ \displaystyle\int^{2\pi}_{0} \dfrac{x{\cdot}\sin\left(x\right)}{{\pi}}\, \mathrm d x $$	2
1567	$$ \displaystyle\int^{2\pi}_{0} \dfrac{x}{{\pi}}\, \mathrm d x $$	2
1568	$$ \displaystyle\int^{2\pi}_{0} \dfrac{x{\cdot}\sin\left(2x\right)}{{\pi}}\, \mathrm d x $$	2
1569	$$ \displaystyle\int^{2\pi}_{0} \dfrac{x{\cdot}\sin\left(3x\right)}{{\pi}}\, \mathrm d x $$	2
1570	$$ \displaystyle\int^{2\pi}_{0} \dfrac{x{\cdot}\sin\left(4x\right)}{{\pi}}\, \mathrm d x $$	2
1571	$$ \displaystyle\int^{2\pi}_{0} \dfrac{x}{2{\pi}}\, \mathrm d x $$	2
1572	$$ \displaystyle\int^{2\pi}_{0} \dfrac{x{\cdot}\cos\left(x\right)}{2{\pi}}\, \mathrm d x $$	2
1573	$$ \displaystyle\int^{2\pi}_{0} \dfrac{x{\cdot}\cos\left(2x\right)}{{\pi}}\, \mathrm d x $$	2
1574	$$ \displaystyle\int \dfrac{\ln\left(x+2\right)}{\sqrt{x+2}}\, \mathrm d x $$	2
1575	$$ \displaystyle\int {\left(\ln\left(x-2\right)\right)}^{3}\, \mathrm d x $$	2
1576	$$ \displaystyle\int \sqrt{{x}^{2}+{x}^{4}}\, \mathrm d x $$	2
1577	$$ \displaystyle\int \sqrt{{x}^{2}+1}\, \mathrm d x $$	2
1578	$$ \displaystyle\int^{1}_{0} \dfrac{1}{{\left(3-2x\right)}^{2}}\, \mathrm d x $$	2
1579	$$ $$	2
1580	$$ $$	2
1581	$$ $$	2
1582	$$ $$	2
1583	$$ $$	2
1584	$$ $$	2
1585	$$ $$	2
1586	$$ $$	2
1587	$$ $$	2
1588	$$ $$	2
1589	$$ $$	2
1590	$$ $$	2
1591	$$ $$	2
1592	$$ $$	2
1593	$$ \displaystyle\int \dfrac{{x}^{2}-3x+2}{x+1}\, \mathrm d x $$	2
1594	$$ $$	2
1595	$$ $$	2
1596	$$ $$	2
1597	$$ $$	2
1598	$$ $$	2
1599	$$ $$	2
1600	$$ $$	2