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
1251	$$ \displaystyle\int \dfrac{-1}{{\left(9{x}^{2}+4\right)}^{\frac{3}{2}}}\, \mathrm d x $$	2
1252	$$ \displaystyle\int \dfrac{2}{3}{\cdot}{x}^{2}{\cdot}\ln\left({x}^{3}\right)\, \mathrm d x $$	2
1253	$$ \displaystyle\int -{\mathrm{e}}^{x}{\cdot}\sqrt{9{\mathrm{e}}^{2x}+4}\, \mathrm d x $$	2
1254	$$ \displaystyle\int {\mathrm{e}}^{2+6{\cdot}\cos\left(\frac{{\pi}{\cdot}x}{4}\right)}\, \mathrm d x $$	2
1255	$$ \displaystyle\int {\mathrm{e}}^{2+6{\cdot}\cos\left(\frac{{\pi}{\cdot}x}{4}\right)}\, \mathrm d x $$	2
1256	$$ \displaystyle\int \dfrac{\left({x}^{4}+x\right){\cdot}\left(3x-1\right)}{{x}^{2}{\cdot}\sqrt{x}}\, \mathrm d x $$	2
1257	$$ \displaystyle\int \sin\left(2x\right)\, \mathrm d x $$	2
1258	$$ \displaystyle\int \left(2x-3\right){\cdot}\sin\left(2x\right)\, \mathrm d x $$	2
1259	$$ $$	2
1260	$$ \displaystyle\int \mathrm{e}^{3x}\, \mathrm d x $$	2
1261	$$ \displaystyle\int \left({x}^{2}+2x\right){\cdot}\mathrm{e}^{3x}\, \mathrm d x $$	2
1262	$$ \displaystyle\int^{3.25789}_{0} \dfrac{{x}^{4}-10{x}^{2}-2x}{2{x}^{2}+1}\, \mathrm d x $$	2
1263	$$ \displaystyle\int \dfrac{1}{{\left({x}^{2}-16\right)}^{\frac{3}{2}}}\, \mathrm d x $$	2
1264	$$ \displaystyle\int \sqrt{3-2}{\cdot}{x}^{2}\, \mathrm d x $$	2
1265	$$ $$	2
1266	$$ $$	2
1267	$$ $$	2
1268	$$ \displaystyle\int^{\pi/2}_{0} {\left(\sin\left(x\right)\right)}^{2}\, \mathrm d x $$	2
1269	$$ \displaystyle\int^{3}_{1} x\, \mathrm d x $$	2
1270	$$ \displaystyle\int \dfrac{36}{49{\cdot}\left(3x-2\right)}\, \mathrm d x $$	2
1271	$$ \displaystyle\int \dfrac{1}{7{\cdot}{\left(2x+1\right)}^{2}}\, \mathrm d x $$	2
1272	$$ \displaystyle\int \sin\left(5\right){\cdot}x{\cdot}\cos\left(2\right){\cdot}x\, \mathrm d x $$	2
1273	$$ \displaystyle\int^{\infty}_{200} \dfrac{20000}{{\left(x+100\right)}^{3}}\, \mathrm d x $$	2
1274	$$ \displaystyle\int \sqrt{\dfrac{x}{1-x}}\, \mathrm d x $$	2
1275	$$ $$	2
1276	$$ $$	2
1277	$$ \displaystyle\int^{3}_{1} {x}^{3}{\cdot}\sqrt{x+2}\, \mathrm d x $$	2
1278	$$ \displaystyle\int \dfrac{\left({x}^{4}+x\right){\cdot}\left(3x-1\right)}{{x}^{2}{\cdot}\sqrt{x}}\, \mathrm d x $$	2
1279	$$ \displaystyle\int \dfrac{\sin\left(2x\right)-\cos\left(2x\right)}{{\left(\sin\left(2x\right)+\cos\left(2x\right)\right)}^{2}}\, \mathrm d x $$	2
1280	$$ \displaystyle\int^{2}_{0} \mathrm{e}^{x}{\cdot}\sqrt{\mathrm{e}^{x}+4}\, \mathrm d x $$	2
1281	$$ \displaystyle\int^{0.693147}_{0} \mathrm{e}^{x}{\cdot}\sqrt{\mathrm{e}^{x}+4}\, \mathrm d x $$	2
1282	$$ \displaystyle\int \left({x}^{2}+3x-2\right){\cdot}{\left(x+5\right)}^{8}\, \mathrm d x $$	2
1283	$$ \displaystyle\int \left({x}^{2}+2x\right){\cdot}\mathrm{e}^{3x}\, \mathrm d x $$	2
1284	$$ \displaystyle\int \dfrac{1}{2}+\dfrac{1}{2}{\cdot}{\left(\sin\left(\dfrac{{\pi}}{2}{\cdot}\left(x-\dfrac{4c}{a}-\dfrac{{\pi}}{2}\right)\right)\right)}^{\frac{a}{2}}\, \mathrm d x $$	2
1285	$$ \displaystyle\int^{5}_{2} -3{x}^{3}\, \mathrm d x $$	2
1286	$$ \displaystyle\int^{4}_{2} 4-\dfrac{5x}{4}\, \mathrm d x $$	2
1287	$$ \displaystyle\int \cos\left(5x-3\right)\, \mathrm d x $$	2
1288	$$ \displaystyle\int \mathrm{e}^{\cos\left(x\right)}{\cdot}\sin\left(x\right)\, \mathrm d x $$	2
1289	$$ \displaystyle\int \sin\left(3x\right)\, \mathrm d x $$	2
1290	$$ \displaystyle\int \cos\left(3x\right)\, \mathrm d x $$	2
1291	$$ \displaystyle\int \left(x-1\right){\cdot}\cos\left(3x\right)\, \mathrm d x $$	2
1292	$$ $$	2
1293	$$ \displaystyle\int 2{x}^{4}\, \mathrm d x $$	2
1294	$$ \displaystyle\int \ln\left(2\right){\cdot}{x}^{2}\, \mathrm d x $$	2
1295	$$ \displaystyle\int \sin\left(3x\right)\, \mathrm d x $$	2
1296	$$ \displaystyle\int^{\pi}_{1} \dfrac{\sin\left(x\right)}{x}\, \mathrm d x $$	2
1297	$$ $$	2
1298	$$ $$	2
1299	$$ $$	2
1300	$$ $$	2