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
1701	$$ $$	2
1702	$$ \displaystyle\int \cos\left(\dfrac{n{\cdot}{\pi}{\cdot}x}{10}\right){\cdot}\cos\left({\pi}{\cdot}x\right)\, \mathrm d x $$	2
1703	$$ \displaystyle\int^{10}_{0} \cos\left(\dfrac{n{\cdot}{\pi}{\cdot}x}{10}\right){\cdot}\cos\left({\pi}{\cdot}x\right)\, \mathrm d x $$	2
1704	$$ $$	2
1705	$$ $$	2
1706	$$ \displaystyle\int^{1}_{0} \dfrac{3{x}^{3}-{x}^{2}-2x+4}{\sqrt{{x}^{2}-3x+2}}\, \mathrm d x $$	2
1707	$$ \displaystyle\int x\,rb1=indef $$	2
1708	$$ \displaystyle\int^{7}_{3} 3+5x\, \mathrm d x $$	2
1709	$$ \displaystyle\int 324\, \mathrm d x $$	2
1710	$$ \displaystyle\int \tan\left(456\right)\, \mathrm d x $$	2
1711	$$ \displaystyle\int {x}^{2}+4x-2\, \mathrm d x $$	2
1712	$$ \displaystyle\int \ln\left(1+{x}^{3}\right)\, \mathrm d x $$	2
1713	$$ \displaystyle\int fx{\cdot}\sin\left(x\right){\cdot}\cos\left(x\right)\, \mathrm d x $$	2
1714	$$ \displaystyle\int \dfrac{3x+2}{{x}^{2}-x+2}\, \mathrm d x $$	2
1715	$$ \displaystyle\int \dfrac{{x}^{5}}{\sqrt{1-{x}^{4}}}\, \mathrm d x $$	2
1716	$$ $$	2
1717	$$ \displaystyle\int {x}^{2}+3x-4\, \mathrm d x $$	2
1718	$$ \displaystyle\int^{\pi/5}_{0} {\left(\sin\left(5x\right)\right)}^{2}\, \mathrm d x $$	2
1719	$$ \displaystyle\int^{2}_{1} {x}^{2}\, \mathrm d x $$	2
1720	$$ \displaystyle\int^{4}_{1} 2-\dfrac{\sqrt{x}}{{x}^{2}}\, \mathrm d x $$	2
1721	$$ \displaystyle\int^{4}_{1} \dfrac{\sqrt{t}}{{x}^{2}}\, \mathrm d x $$	2
1722	$$ \displaystyle\int \dfrac{1}{4{x}^{2}+1}\, \mathrm d x $$	2
1723	$$ \displaystyle\int \dfrac{6x+1}{\sqrt{3x-4}}\, \mathrm d x $$	2
1724	$$ \displaystyle\int \dfrac{\sqrt{25-4{x}^{2}}}{x}\, \mathrm d x $$	2
1725	$$ \displaystyle\int {x}^{3}{\cdot}{\mathrm{e}}^{2x}\, \mathrm d x $$	2
1726	$$ \displaystyle\int \tan\left(6\right){\cdot}{x}^{3}{\cdot}{\left(\sqrt{x}\right)}^{4}-2\, \mathrm d x $$	2
1727	$$ \displaystyle\int \left(x+1\right){\cdot}\sqrt{{x}^{2}+2x}\, \mathrm d x $$	2
1728	$$ \displaystyle\int \dfrac{\sin\left(3x\right)}{1+\cos\left(x\right){\cdot}\cos\left(x\right)}\, \mathrm d x $$	2
1729	$$ \displaystyle\int \dfrac{1}{{x}^{3}}-15{x}^{2}+48x+64\, \mathrm d x $$	2
1730	$$ \displaystyle\int \dfrac{1}{{x}^{3}-15{x}^{2}+48x+64}\, \mathrm d x $$	2
1731	$$ $$	2
1732	$$ \displaystyle\int^{3}_{8} \dfrac{4}{5-sq{\cdot}\sqrt{t}{\cdot}\left(1-x\right)}\, \mathrm d x $$	2
1733	$$ \displaystyle\int^{8}_{3} \dfrac{4}{5-\sqrt{1-x}}\, \mathrm d x $$	2
1734	$$ \displaystyle\int 4x-3{\cdot}\sin\left(3x\right)\, \mathrm d x $$	2
1735	$$ $$	2
1736	$$ \displaystyle\int \sin\left(\dfrac{1}{2}\right){\cdot}x\, \mathrm d x $$	2
1737	$$ $$	2
1738	$$ \displaystyle\int^{4\pi}_{0} \dfrac{\cos\left(6x\right)}{5-3{\cdot}\cos\left(2x\right)}\, \mathrm d x $$	2
1739	$$ $$	2
1740	$$ \displaystyle\int 11-x-\dfrac{{x}^{2}}{x-1}{\cdot}{\left(x-2\right)}^{2}\, \mathrm d x $$	2
1741	$$ \displaystyle\int^{0}_{\pi} \sin\left(x\right)\, \mathrm d x $$	2
1742	$$ \displaystyle\int^{\pi/3}_{\pi/6} \dfrac{\cos\left(4x\right)}{\sin\left(2x\right){\cdot}\cos\left(2x\right)}\, \mathrm d x $$	2
1743	$$ \displaystyle\int^{1}_{0} {x}^{1.5}{\cdot}{\left(1-x\right)}^{0.5}\, \mathrm d x $$	2
1744	$$ $$	2
1745	$$ $$	2
1746	$$ $$	2
1747	$$ $$	2
1748	$$ \displaystyle\int {\mathrm{e}}^{\frac{1}{x}}\, \mathrm d x $$	2
1749	$$ \displaystyle\int \sin\left(a+x\right)\, \mathrm d x $$	2
1750	$$ \displaystyle\int \ln\left(x\right)\, \mathrm d x $$	2