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	$$ $$	2
2152	$$ $$	2
2153	$$ $$	2
2154	$$ \displaystyle\int^{1/3}_{0} \dfrac{3}{20}{\cdot}\left(4{x}^{2}-{x}^{3}\right)\, \mathrm d x $$	2
2155	$$ \displaystyle\int^{2}_{0} \dfrac{-1}{8}{\cdot}x+\dfrac{1}{2}\, \mathrm d x $$	2
2156	$$ $$	2
2157	$$ $$	2
2158	$$ $$	2
2159	$$ \displaystyle\int 1+6{x}^{3}\, \mathrm d x $$	2
2160	$$ $$	2
2161	$$ $$	2
2162	$$ $$	2
2163	$$ $$	2
2164	$$ \displaystyle\int \dfrac{\sqrt{{x}^{2}+36}}{7{x}^{2}}\, \mathrm d x $$	2
2165	$$ $$	2
2166	$$ $$	2
2167	$$ $$	2
2168	$$ $$	2
2169	$$ $$	2
2170	$$ $$	2
2171	$$ $$	2
2172	$$ \displaystyle\int \dfrac{-x}{{\left(\ln\left(x\right)\right)}^{2}}\, \mathrm d x $$	2
2173	$$ $$	2
2174	$$ \displaystyle\int 0.4{\cdot}\cos\left({\pi}{\cdot}x\right)+1.8\, \mathrm d x $$	2
2175	$$ \displaystyle\int \cos\left(\dfrac{{\pi}{\cdot}x}{2l}\right){\cdot}\cos\left(\dfrac{{\pi}{\cdot}x}{l}\right)\, \mathrm d x $$	2
2176	$$ \displaystyle\int \dfrac{100}{5-2x}-10\, \mathrm d x $$	2
2177	$$ \displaystyle\int^{2}_{0} \dfrac{100}{5-2x}-10\, \mathrm d x $$	2
2178	$$ \displaystyle\int \tan\left(t\right){\cdot}\left(3{\cdot}\cos\left(t\right)-3{\cdot}\csc\left(t\right)\right)\, \mathrm d x $$	1
2179	$$ \displaystyle\int 4{x}^{2}+2{x}^{6}-5x-2+{x}^{-1}-3{x}^{-2}+5{x}^{-3}\, \mathrm d x $$	1
2180	$$ \displaystyle\int {x}^{2}{\cdot}\cos\left(3\right){\cdot}x\, \mathrm d x $$	1
2181	$$ \displaystyle\int {x}^{2}{\cdot}\cos\left(3x\right)\, \mathrm d x $$	1
2182	$$ \displaystyle\int^{5}_{1} 4{x}^{2}+2{x}^{6}-5x-2\, \mathrm d x $$	1
2183	$$ \displaystyle\int {x}^{3}{\cdot}\cos\left(2x\right)\, \mathrm d x $$	1
2184	$$ \displaystyle\int^{\pi}_{0} \dfrac{6s}{3{s}^{2}-1}\, \mathrm d x $$	1
2185	$$ \displaystyle\int^{4}_{2} \dfrac{6s}{3{s}^{2}-1}\, \mathrm d x $$	1
2186	$$ \displaystyle\int \sec\left(x\right)\, \mathrm d x $$	1
2187	$$ \displaystyle\int^{2 \pi}_{0} \dfrac{1}{3-2{\cdot}\cos\left(x\right)+\sin\left(x\right)}\, \mathrm d x $$	1
2188	$$ $$	1
2189	$$ $$	1
2190	$$ \displaystyle\int^{1}_{0} \dfrac{\left(a+{x}^{2}\right){\cdot}{\left(\ln\left(\dfrac{1}{x}\right)\right)}^{4}}{1+{x}^{2}}\, \mathrm d x $$	1
2191	$$ \displaystyle\int {\left(1+x\right)}^{1000}\, \mathrm d x $$	1
2192	$$ \displaystyle\int {x}^{5}{\cdot}\sqrt{{x}^{3}+1}\, \mathrm d x $$	1
2193	$$ $$	1
2194	$$ $$	1
2195	$$ $$	1
2196	$$ $$	1
2197	$$ \displaystyle\int {\left(\cos\left(2x\right)\right)}^{2}\, \mathrm d x $$	1
2198	$$ $$	1
2199	$$ $$	1
2200	$$ \displaystyle\int {x}^{2}{\cdot}\mathrm{e}^{-a{x}^{2}}\, \mathrm d x $$	1