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	$$ $$	2
1902	$$ \displaystyle\int^{\pi/2}_{--\pi/2} \sin\left(x\right)\, \mathrm d x $$	2
1903	$$ $$	2
1904	$$ $$	2
1905	$$ $$	2
1906	$$ $$	2
1907	$$ $$	2
1908	$$ $$	2
1909	$$ $$	2
1910	$$ $$	2
1911	$$ $$	2
1912	$$ $$	2
1913	$$ $$	2
1914	$$ $$	2
1915	$$ $$	2
1916	$$ $$	2
1917	$$ \displaystyle\int 2000{\cdot}\dfrac{\sin\left(2\right){\cdot}{\pi}{\cdot}x}{3}\, \mathrm d x $$	2
1918	$$ $$	2
1919	$$ \displaystyle\int {x}^{3}{\cdot}\sqrt{{x}^{2}-36}\, \mathrm d x $$	2
1920	$$ \displaystyle\int \sqrt{4+3x}\, \mathrm d x $$	2
1921	$$ $$	2
1922	$$ $$	2
1923	$$ $$	2
1924	$$ $$	2
1925	$$ $$	2
1926	$$ $$	2
1927	$$ \displaystyle\int^{\pi/4}_{0} \sec\left(\color{orangered}{\square}\right)\, \mathrm d x $$	2
1928	$$ \displaystyle\int^{\pi/4}_{0} \sec\left(\colosqrt{osqrtangesqrted}{\squasqrte}\sqrtight)\, \mathsqrtm d x $$	2
1929	$$ \displaystyle\int \dfrac{1}{{x}^{2}}{\cdot}\sqrt{{x}^{2}+4}\, \mathrm d x $$	2
1930	$$ \displaystyle\int \dfrac{4x+3}{\sqrt{2{\cdot}{\left(x-2\right)}^{2}+3}}\, \mathrm d x $$	2
1931	$$ \displaystyle\int \dfrac{4x+3}{s}{\cdot}q{\cdot}\sqrt{t}{\cdot}\left(2{\cdot}{\left(x-2\right)}^{2}-3\right)\, \mathrm d x $$	2
1932	$$ \displaystyle\int \dfrac{4x+3}{\sqrt{2{\cdot}{\left(x-2\right)}^{2}-3}}\, \mathrm d x $$	2
1933	$$ \displaystyle\int \dfrac{\sqrt{x}}{4+{x}^{3}}\, \mathrm d x $$	2
1934	$$ \displaystyle\int 0.0002{x}^{2}-0.03x+150\, \mathrm d x $$	2
1935	$$ \displaystyle\int \dfrac{{4000}^{3}}{1500}-3{\cdot}\dfrac{{4000}^{2}}{200}+150{\cdot}4000\, \mathrm d x $$	2
1936	$$ \displaystyle\int \dfrac{1}{4x{\cdot}\sqrt{{\left(\dfrac{x}{2}\right)}^{2}-1}}\, \mathrm d x $$	2
1937	$$ \displaystyle\int \dfrac{10}{3x{\cdot}\sqrt{{\left(\dfrac{9x}{2}\right)}^{2}-1}}\, \mathrm d x $$	2
1938	$$ \displaystyle\int \dfrac{-3}{{x}^{2}{\cdot}{\mathrm{e}}^{\frac{2}{x}}}\, \mathrm d x $$	2
1939	$$ \displaystyle\int {x}^{3}-{\mathrm{e}}^{2x}{\cdot}\tan\left(x\right)\, \mathrm d x $$	2
1940	$$ \displaystyle\int \dfrac{4x+12}{2x+5}\, \mathrm d x $$	2
1941	$$ \displaystyle\int {\left(\sec\left(3x\right)\right)}^{29}\, \mathrm d x $$	2
1942	$$ \displaystyle\int {\left(\sec\left(3x\right)\right)}^{2}{\cdot}\left(\dfrac{1}{2}{\cdot}{\mathrm{e}}^{5x}{\cdot}{\left(\cos\left(3x\right)\right)}^{2}-2\right)\, \mathrm d x $$	2
1943	$$ \displaystyle\int \dfrac{1}{{\left(25+{x}^{2}\right)}^{\frac{1}{2}}}\, \mathrm d x $$	2
1944	$$ \displaystyle\int^{0.8}_{0} \dfrac{{x}^{2}}{{\left(16-25{x}^{2}\right)}^{\frac{1}{2}}}\, \mathrm d x $$	2
1945	$$ \displaystyle\int \dfrac{{x}^{2}}{{\left(16-25{x}^{2}\right)}^{\frac{1}{2}}}\, \mathrm d x $$	2
1946	$$ \displaystyle\int \dfrac{63}{16{\cdot}\sqrt{1-{\left(\dfrac{7x}{2}\right)}^{2}}}\, \mathrm d x $$	2
1947	$$ $$	2
1948	$$ \displaystyle\int 3{\cdot}{\left(\sin\left(x\right)\right)}^{2}{\cdot}{\left(\cos\left(x\right)\right)}^{2}\, \mathrm d x $$	2
1949	$$ \displaystyle\int 3{\cdot}{\left(\cos\left(x\right)\right)}^{2}\, \mathrm d x $$	2
1950	$$ \displaystyle\int 3{\cdot}\cos\left({x}^{2}\right)\, \mathrm d x $$	2