Integrals

(the database of solved problems)

All the problems and solutions shown below were generated using the Integral Calculator.

Select category

ID	Problem	Count
2101	$$ $$	2
2102	$$ \displaystyle\int 3x\, \mathrm d x $$	2
2103	$$ \displaystyle\int \dfrac{1}{\sqrt{{x}^{2}+1}}\, \mathrm d x $$	2
2104	$$ \displaystyle\int \dfrac{{x}^{7}}{{\left({x}^{8}+32\right)}^{\frac{3}{5}}}\, \mathrm d x $$	2
2105	$$ \displaystyle\int \dfrac{3x+1}{2{x}^{2}-2x+3}\, \mathrm d x $$	2
2106	$$ \displaystyle\int \dfrac{\cos\left(x\right)}{\sqrt{2+\sin\left(x\right)}}\, \mathrm d x $$	2
2107	$$ \displaystyle\int \dfrac{1}{sq{\cdot}\sqrt{t}{\cdot}\left({a}^{2}-{x}^{2}\right)}\, \mathrm d x $$	2
2108	$$ \displaystyle\int \dfrac{1}{x{\cdot}\left({x}^{2}+1\right)}\, \mathrm d x $$	2
2109	$$ $$	2
2110	$$ \displaystyle\int^{\pi/2}_{--\pi/2} \sin\left(x\right)\, \mathrm d x $$	2
2111	$$ $$	2
2112	$$ $$	2
2113	$$ $$	2
2114	$$ $$	2
2115	$$ $$	2
2116	$$ $$	2
2117	$$ $$	2
2118	$$ $$	2
2119	$$ $$	2
2120	$$ $$	2
2121	$$ $$	2
2122	$$ $$	2
2123	$$ $$	2
2124	$$ $$	2
2125	$$ $$	2
2126	$$ $$	2
2127	$$ \displaystyle\int 2000{\cdot}\dfrac{\sin\left(2\right){\cdot}{\pi}{\cdot}x}{3}\, \mathrm d x $$	2
2128	$$ $$	2
2129	$$ \displaystyle\int {x}^{3}{\cdot}\sqrt{{x}^{2}-36}\, \mathrm d x $$	2
2130	$$ \displaystyle\int \sqrt{4+3x}\, \mathrm d x $$	2
2131	$$ $$	2
2132	$$ $$	2
2133	$$ $$	2
2134	$$ $$	2
2135	$$ $$	2
2136	$$ $$	2
2137	$$ $$	2
2138	$$ \displaystyle\int^{\pi/4}_{0} \sec\left(\color{orangered}{\square}\right)\, \mathrm d x $$	2
2139	$$ \displaystyle\int^{\pi/4}_{0} \sec\left(\colosqrt{osqrtangesqrted}{\squasqrte}\sqrtight)\, \mathsqrtm d x $$	2
2140	$$ \displaystyle\int \dfrac{1}{{x}^{2}}{\cdot}\sqrt{{x}^{2}+4}\, \mathrm d x $$	2
2141	$$ \displaystyle\int \dfrac{4x+3}{\sqrt{2{\cdot}{\left(x-2\right)}^{2}+3}}\, \mathrm d x $$	2
2142	$$ \displaystyle\int \dfrac{4x+3}{s}{\cdot}q{\cdot}\sqrt{t}{\cdot}\left(2{\cdot}{\left(x-2\right)}^{2}-3\right)\, \mathrm d x $$	2
2143	$$ \displaystyle\int \dfrac{4x+3}{\sqrt{2{\cdot}{\left(x-2\right)}^{2}-3}}\, \mathrm d x $$	2
2144	$$ \displaystyle\int \dfrac{\sqrt{x}}{4+{x}^{3}}\, \mathrm d x $$	2
2145	$$ \displaystyle\int 0.0002{x}^{2}-0.03x+150\, \mathrm d x $$	2
2146	$$ \displaystyle\int \dfrac{{4000}^{3}}{1500}-3{\cdot}\dfrac{{4000}^{2}}{200}+150{\cdot}4000\, \mathrm d x $$	2
2147	$$ \displaystyle\int \dfrac{1}{4x{\cdot}\sqrt{{\left(\dfrac{x}{2}\right)}^{2}-1}}\, \mathrm d x $$	2
2148	$$ \displaystyle\int \dfrac{10}{3x{\cdot}\sqrt{{\left(\dfrac{9x}{2}\right)}^{2}-1}}\, \mathrm d x $$	2
2149	$$ \displaystyle\int \dfrac{-3}{{x}^{2}{\cdot}{\mathrm{e}}^{\frac{2}{x}}}\, \mathrm d x $$	2
2150	$$ \displaystyle\int {x}^{3}-{\mathrm{e}}^{2x}{\cdot}\tan\left(x\right)\, \mathrm d x $$	2