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
2151	$$ \displaystyle\int \dfrac{4x+12}{2x+5}\, \mathrm d x $$	2
2152	$$ \displaystyle\int {\left(\sec\left(3x\right)\right)}^{29}\, \mathrm d x $$	2
2153	$$ \displaystyle\int {\left(\sec\left(3x\right)\right)}^{2}{\cdot}\left(\dfrac{1}{2}{\cdot}{\mathrm{e}}^{5x}{\cdot}{\left(\cos\left(3x\right)\right)}^{2}-2\right)\, \mathrm d x $$	2
2154	$$ \displaystyle\int \dfrac{1}{{\left(25+{x}^{2}\right)}^{\frac{1}{2}}}\, \mathrm d x $$	2
2155	$$ \displaystyle\int^{0.8}_{0} \dfrac{{x}^{2}}{{\left(16-25{x}^{2}\right)}^{\frac{1}{2}}}\, \mathrm d x $$	2
2156	$$ \displaystyle\int \dfrac{{x}^{2}}{{\left(16-25{x}^{2}\right)}^{\frac{1}{2}}}\, \mathrm d x $$	2
2157	$$ \displaystyle\int \dfrac{63}{16{\cdot}\sqrt{1-{\left(\dfrac{7x}{2}\right)}^{2}}}\, \mathrm d x $$	2
2158	$$ $$	2
2159	$$ $$	2
2160	$$ \displaystyle\int 3{\cdot}{\left(\sin\left(x\right)\right)}^{2}{\cdot}{\left(\cos\left(x\right)\right)}^{2}\, \mathrm d x $$	2
2161	$$ \displaystyle\int 3{\cdot}{\left(\cos\left(x\right)\right)}^{2}\, \mathrm d x $$	2
2162	$$ \displaystyle\int 3{\cdot}\cos\left({x}^{2}\right)\, \mathrm d x $$	2
2163	$$ \displaystyle\int^{5}_{0} \sqrt{x}+4\, \mathrm d x $$	2
2164	$$ \displaystyle\int \dfrac{\sin\left({x}^{\frac{1}{2}}\right)}{4{x}^{\frac{1}{2}}}\, \mathrm d x $$	2
2165	$$ \displaystyle\int {\left(\sin\left(x\right)\right)}^{{\left(\cos\left(x\right)\right)}^{\tan\left(x\right)}}{\cdot}x{\cdot}3\, \mathrm d x $$	2
2166	$$ \displaystyle\int \dfrac{x{\cdot}{\left(\tan\left(x\right)\right)}^{-1}}{{\left(1+{x}^{2}\right)}^{1.5}}\, \mathrm d x $$	2
2167	$$ \displaystyle\int \dfrac{{x}^{3}+3x+2}{{\left({x}^{2}+1\right)}^{2}{\cdot}\left(x+1\right)}\, \mathrm d x $$	2
2168	$$ \displaystyle\int \dfrac{x{\cdot}{\left(\tan\left(x\right)\right)}^{-1}}{{\left(1+{x}^{2}\right)}^{\frac{3}{2}}}\, \mathrm d x $$	2
2169	$$ \displaystyle\int {x}^{2}+2x+5\, \mathrm d x $$	2
2170	$$ $$	2
2171	$$ $$	2
2172	$$ \displaystyle\int \cos\left(x\right){\cdot}{\mathrm{e}}^{\sin\left(x\right)}\, \mathrm d x $$	2
2173	$$ \displaystyle\int \dfrac{{x}^{3}}{\sqrt{9-{x}^{2}}}\, \mathrm d x $$	2
2174	$$ $$	2
2175	$$ $$	2
2176	$$ $$	2
2177	$$ \displaystyle\int^{1/3}_{0} \dfrac{3}{20}{\cdot}\left(4{x}^{2}-{x}^{3}\right)\, \mathrm d x $$	2
2178	$$ \displaystyle\int^{2}_{0} \dfrac{-1}{8}{\cdot}x+\dfrac{1}{2}\, \mathrm d x $$	2
2179	$$ $$	2
2180	$$ $$	2
2181	$$ $$	2
2182	$$ \displaystyle\int 1+6{x}^{3}\, \mathrm d x $$	2
2183	$$ $$	2
2184	$$ $$	2
2185	$$ $$	2
2186	$$ $$	2
2187	$$ \displaystyle\int \dfrac{\sqrt{{x}^{2}+36}}{7{x}^{2}}\, \mathrm d x $$	2
2188	$$ $$	2
2189	$$ $$	2
2190	$$ $$	2
2191	$$ $$	2
2192	$$ $$	2
2193	$$ $$	2
2194	$$ $$	2
2195	$$ \displaystyle\int \dfrac{-x}{{\left(\ln\left(x\right)\right)}^{2}}\, \mathrm d x $$	2
2196	$$ $$	2
2197	$$ \displaystyle\int 0.4{\cdot}\cos\left({\pi}{\cdot}x\right)+1.8\, \mathrm d x $$	2
2198	$$ \displaystyle\int \cos\left(\dfrac{{\pi}{\cdot}x}{2l}\right){\cdot}\cos\left(\dfrac{{\pi}{\cdot}x}{l}\right)\, \mathrm d x $$	2
2199	$$ \displaystyle\int \dfrac{100}{5-2x}-10\, \mathrm d x $$	2
2200	$$ \displaystyle\int^{2}_{0} \dfrac{100}{5-2x}-10\, \mathrm d x $$	2