Integrals – Solved Problems Database

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

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ID	Problem	Count
251	$$ $$	2
252	$$ \displaystyle\int^{\infty}_{1} \dfrac{1}{{x}^{5}}\, \mathrm d x $$	2
253	$$ \displaystyle\int \dfrac{1}{{x}^{2}+1}\, \mathrm d x $$	2
254	$$ \displaystyle\int^{2}_{1} {\mathrm{e}}^{x}-x\, \mathrm d x $$	2
255	$$ \displaystyle\int^{0.5}_{0.2} 6x{\cdot}{\left(3+x\right)}^{-2}\, \mathrm d x $$	2
256	$$ $$	2
257	$$ \displaystyle\int \sin\left(5x\right){\cdot}\sin\left(12x\right)\, \mathrm d x $$	2
258	$$ $$	2
259	$$ \displaystyle\int^{\pi/2}_{0} \sqrt{1+9{\cdot}{\left(\cos\left(3x\right)\right)}^{2}}\, \mathrm d x $$	2
260	$$ \displaystyle\int^{2.71828}_{1} \dfrac{1}{x}\, \mathrm d x $$	2
261	$$ $$	2
262	$$ \displaystyle\int^{100}_{-50} \ln\left(33333333\right){\cdot}\cos\left(44444\right){\cdot}\tan\left(7777\right){\cdot}x{\cdot}\sqrt{87}\, \mathrm d x $$	2
263	$$ \displaystyle\int {\left(2x+4\right)}^{3}\, \mathrm d x $$	2
264	$$ \displaystyle\int^{2}_{0} 2x-{x}^{2}\, \mathrm d x $$	2
265	$$ \displaystyle\int^{2}_{0} {x}^{3}{\cdot}{\mathrm{e}}^{-x}\, \mathrm d x $$	2
266	$$ $$	2
267	$$ $$	2
268	$$ \displaystyle\int^{2}_{0} 4{x}^{2}-{x}^{4}\, \mathrm d x $$	2
269	$$ \displaystyle\int^{\infty}_{0} {x}^{3}{\cdot}{\mathrm{e}}^{-x}\, \mathrm d x $$	2
270	$$ $$	2
271	$$ \displaystyle\int^{5}_{-1} x+7\, \mathrm d x $$	2
272	$$ $$	2
273	$$ $$	2
274	$$ \displaystyle\int^{1}_{-1} -{x}^{2}+3-2\, \mathrm d x $$	2
275	$$ $$	2
276	$$ \displaystyle\int^{4}_{0} 2{\cdot}\left(0.5x-\sqrt{x}\right){\cdot}x\, \mathrm d x $$	2
277	$$ \displaystyle\int \arctan\left(x\right)\, \mathrm d x $$	2
278	$$ \displaystyle\int {\left(\tanh\left(3x\right)\right)}^{n}\, \mathrm d x $$	2
279	$$ $$	2
280	$$ \displaystyle\int \dfrac{\sin\left(2x\right)}{4-x}\, \mathrm d x $$	2
281	$$ \displaystyle\int \sin\left(3x\right){\cdot}\cos\left(4x\right)\, \mathrm d x $$	2
282	$$ \displaystyle\int {\left(\sec\left(x\right)\right)}^{2}{\cdot}\tan\left(x\right)\, \mathrm d x $$	2
283	$$ \displaystyle\int \dfrac{x}{{\left(\sin\left(x\right)\right)}^{n}}\, \mathrm d x $$	2
284	$$ $$	2
285	$$ $$	2
286	$$ $$	2
287	$$ $$	2
288	$$ $$	2
289	$$ \displaystyle\int^{1}_{-1} {x}^{\frac{1}{2}}+4-4\, \mathrm d x $$	2
290	$$ \displaystyle\int \sqrt{x}{\cdot}\ln\left(2x\right)\, \mathrm d x $$	2
291	$$ \displaystyle\int \dfrac{{\mathrm{e}}^{\mathrm{e}}{\cdot}x}{{\mathrm{e}}^{x}}+3\, \mathrm d x $$	2
292	$$ $$	2
293	$$ \displaystyle\int {x}^{\frac{2}{5}}+2\, \mathrm d x $$	2
294	$$ $$	2
295	$$ \displaystyle\int \dfrac{3x-1}{2{x}^{2}+2x+3}\, \mathrm d x $$	2
296	$$ $$	2
297	$$ \displaystyle\int^{1}_{0} {\left(1-{x}^{2}\right)}^{2}-{\left(1-\sqrt{x}\right)}^{2}\, \mathrm d x $$	2
298	$$ \displaystyle\int {x}^{\frac{2}{5}}+2\, \mathrm d x $$	2
299	$$ $$	2
300	$$ \displaystyle\int^{2}_{-2} -{x}^{2}+6-2\, \mathrm d x $$	2