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
1901	$$ \displaystyle\int {x}^{3}{\cdot}{\mathrm{e}}^{2x}\, \mathrm d x $$	2
1902	$$ \displaystyle\int \tan\left(6\right){\cdot}{x}^{3}{\cdot}{\left(\sqrt{x}\right)}^{4}-2\, \mathrm d x $$	2
1903	$$ \displaystyle\int \left(x+1\right){\cdot}\sqrt{{x}^{2}+2x}\, \mathrm d x $$	2
1904	$$ \displaystyle\int \dfrac{\sin\left(3x\right)}{1+\cos\left(x\right){\cdot}\cos\left(x\right)}\, \mathrm d x $$	2
1905	$$ \displaystyle\int \dfrac{1}{{x}^{3}}-15{x}^{2}+48x+64\, \mathrm d x $$	2
1906	$$ \displaystyle\int \dfrac{1}{{x}^{3}-15{x}^{2}+48x+64}\, \mathrm d x $$	2
1907	$$ $$	2
1908	$$ $$	2
1909	$$ \displaystyle\int^{3}_{8} \dfrac{4}{5-sq{\cdot}\sqrt{t}{\cdot}\left(1-x\right)}\, \mathrm d x $$	2
1910	$$ \displaystyle\int^{8}_{3} \dfrac{4}{5-\sqrt{1-x}}\, \mathrm d x $$	2
1911	$$ \displaystyle\int 4x-3{\cdot}\sin\left(3x\right)\, \mathrm d x $$	2
1912	$$ $$	2
1913	$$ \displaystyle\int \sin\left(\dfrac{1}{2}\right){\cdot}x\, \mathrm d x $$	2
1914	$$ $$	2
1915	$$ $$	2
1916	$$ $$	2
1917	$$ \displaystyle\int^{4\pi}_{0} \dfrac{\cos\left(6x\right)}{5-3{\cdot}\cos\left(2x\right)}\, \mathrm d x $$	2
1918	$$ $$	2
1919	$$ \displaystyle\int 11-x-\dfrac{{x}^{2}}{x-1}{\cdot}{\left(x-2\right)}^{2}\, \mathrm d x $$	2
1920	$$ \displaystyle\int^{0}_{\pi} \sin\left(x\right)\, \mathrm d x $$	2
1921	$$ \displaystyle\int^{\pi/3}_{\pi/6} \dfrac{\cos\left(4x\right)}{\sin\left(2x\right){\cdot}\cos\left(2x\right)}\, \mathrm d x $$	2
1922	$$ \displaystyle\int^{1}_{0} {x}^{1.5}{\cdot}{\left(1-x\right)}^{0.5}\, \mathrm d x $$	2
1923	$$ $$	2
1924	$$ $$	2
1925	$$ $$	2
1926	$$ $$	2
1927	$$ $$	2
1928	$$ \displaystyle\int {\mathrm{e}}^{\frac{1}{x}}\, \mathrm d x $$	2
1929	$$ \displaystyle\int \sin\left(a+x\right)\, \mathrm d x $$	2
1930	$$ \displaystyle\int \ln\left(x\right)\, \mathrm d x $$	2
1931	$$ \int {1}\cdot{000143}{\exp{{\left({\cos{{\left({80}\right)}}}\right)}}} \, d\,x $$	2
1932	$$ \displaystyle\int^{3}_{0} \sqrt{x}+{x}^{\frac{1}{5}}+{x}^{\frac{1}{9}}\, \mathrm d x $$	2
1933	$$ \displaystyle\int^{8}_{4} {\mathrm{e}}^{x}\, \mathrm d x $$	2
1934	$$ $$	2
1935	$$ \displaystyle\int^{1}_{0} \dfrac{1}{\sqrt{3x+1}}\, \mathrm d x $$	2
1936	$$ $$	2
1937	$$ $$	2
1938	$$ \displaystyle\int \dfrac{\sqrt{x}+1}{x}\, \mathrm d x $$	2
1939	$$ $$	2
1940	$$ $$	2
1941	$$ $$	2
1942	$$ \displaystyle\int \cos\left(x\right){\cdot}{\mathrm{e}}^{-i{\cdot}ax}\, \mathrm d x $$	2
1943	$$ $$	2
1944	$$ $$	2
1945	$$ $$	2
1946	$$ \displaystyle\int \ln\left(x+1\right){\cdot}\cos\left(\dfrac{x}{2}\right)\, \mathrm d x $$	2
1947	$$ \displaystyle\int \ln\left(x+1\right){\cdot}\cos\left(\dfrac{3x}{2}\right)\, \mathrm d x $$	2
1948	$$ \displaystyle\int \ln\left(x+1\right){\cdot}\sin\left(\dfrac{x}{2}\right)\, \mathrm d x $$	2
1949	$$ \displaystyle\int \ln\left(x+1\right){\cdot}\sin\left(\dfrac{3x}{2}\right)\, \mathrm d x $$	2
1950	$$ \displaystyle\int \dfrac{1}{rx+{x}^{3}}\, \mathrm d x $$	2