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
301	$$ $$	4
302	$$ \displaystyle\int \dfrac{{\left({x}^{3}-{x}^{8}\right)}^{5}}{{x}^{-3}}\, \mathrm d x $$	4
303	$$ $$	4
304	$$ \displaystyle\int \dfrac{1}{2{x}^{2}-x-1}\, \mathrm d x $$	4
305	$$ \displaystyle\int \dfrac{\dfrac{1}{{\left(2+x\right)}^{\frac{5}{2}}}{\cdot}1}{{x}^{2}}\, \mathrm d x $$	4
306	$$ \displaystyle\int^{\infty}_{4} \dfrac{{x}^{2-1}{\cdot}{\mathrm{e}}^{\frac{-x}{4}}}{{4}^{2}{\cdot}1}\, \mathrm d x $$	4
307	$$ \displaystyle\int^{\infty}_{4} \dfrac{\left({x}^{2}-1\right){\cdot}\dfrac{{\mathrm{e}}^{-x}}{4}}{{4}^{2}}{\cdot}1\, \mathrm d x $$	4
308	$$ \displaystyle\int^{4}_{\infty} \dfrac{\dfrac{\left({x}^{2}-1\right){\cdot}{\mathrm{e}}^{-x}}{4}}{{4}^{2}}{\cdot}1\, \mathrm d x $$	4
309	$$ \displaystyle\int {x}^{3}{\cdot}\sin\left(x\right)\, \mathrm d x $$	4
310	$$ $$	4
311	$$ $$	4
312	$$ \displaystyle\int \dfrac{4.75}{x}\, \mathrm d x $$	4
313	$$ $$	4
314	$$ \displaystyle\int \dfrac{1}{\sqrt{x}}\, \mathrm d x $$	4
315	$$ $$	4
316	$$ $$	4
317	$$ $$	4
318	$$ $$	4
319	$$ $$	4
320	$$ $$	4
321	$$ $$	4
322	$$ $$	4
323	$$ $$	4
324	$$ \displaystyle\int {\left({x}^{2}+{3}^{2}\right)}^{\frac{1}{2}}+\left({\left(8-x\right)}^{2}+{7}^{2}\right){\cdot}\dfrac{1}{2}\, \mathrm d x $$	4
325	$$ \displaystyle\int^{2}_{2} \dfrac{\dfrac{{x}^{2}}{8}}{x}\, \mathrm d x $$	4
326	$$ \displaystyle\int \dfrac{5x}{7-x}\, \mathrm d x $$	4
327	$$ \displaystyle\int \dfrac{x}{7-x}\, \mathrm d x $$	4
328	$$ $$	4
329	$$ $$	4
330	$$ $$	4
331	$$ \displaystyle\int \dfrac{18}{7-4x}+\dfrac{5}{7-4x}\, \mathrm d x $$	4
332	$$ \displaystyle\int \dfrac{18}{7-4x}+\dfrac{5x}{7-4x}\, \mathrm d x $$	4
333	$$ \displaystyle\int^{7}_{0} \dfrac{18}{7-4x}+\dfrac{5x}{7-4x}\, \mathrm d x $$	4
334	$$ \displaystyle\int^{1}_{0} \dfrac{18}{7-4x}+\dfrac{5x}{7-4x}\, \mathrm d x $$	4
335	$$ $$	4
336	$$ \displaystyle\int^{\pi/4}_{\pi} \cos\left(x\right)\, \mathrm d x $$	4
337	$$ \displaystyle\int^{\pi/4}_{0} \cos\left(x\right)\, \mathrm d x $$	4
338	$$ \displaystyle\int \sin\left(3\right){\cdot}x{\cdot}\cos\left(x\right)\, \mathrm d x $$	4
339	$$ $$	4
340	$$ $$	4
341	$$ $$	4
342	$$ \displaystyle\int {\left(2{x}^{2}-36x+398\right)}^{\frac{1}{2}}\, \mathrm d x $$	4
343	$$ \displaystyle\int 2{x}^{2}-36x+398\, \mathrm d x $$	4
344	$$ \displaystyle\int 2{\cdot}{\left({\left(2{\cdot}\sin\left(2x\right)\right)}^{2}\right)}^{2}\, \mathrm d x $$	4
345	$$ \displaystyle\int^{\pi/2}_{0} \sin\left(\color{orangered}{\square}\right)\, \mathrm d x $$	4
346	$$ \displaystyle\int^{\pi/3}_{0} \sin\left(x\right)\, \mathrm d x $$	4
347	$$ $$	4
348	$$ $$	4
349	$$ \displaystyle\int \ln\left(\sin\left(x\right)\right)\, \mathrm d x $$	4
350	$$ $$	4