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	$$ $$	4
303	$$ \displaystyle\int \dfrac{1}{{x}^{2}+1}\, \mathrm d x $$	4
304	$$ $$	4
305	$$ \displaystyle\int^{2}_{1} \left(x-2\right){\cdot}\ln\left(x\right)-{x}^{2}+3x-2\, \mathrm d x $$	4
306	$$ $$	4
307	$$ $$	4
308	$$ $$	4
309	$$ $$	4
310	$$ $$	4
311	$$ $$	4
312	$$ \displaystyle\int {x}^{2}+3x-\dfrac{\sqrt{x}}{x}-\sqrt{x}\, \mathrm d x $$	4
313	$$ $$	4
314	$$ $$	4
315	$$ \displaystyle\int \sqrt{5-{x}^{2}}\, \mathrm d x $$	4
316	$$ \displaystyle\int^{1}_{0} {x}^{6}{\cdot}{\mathrm{e}}^{x}\, \mathrm d x $$	4
317	$$ \displaystyle\int \sin\left(5x\right)\, \mathrm d x $$	4
318	$$ \displaystyle\int^{3.14}_{0} \sqrt{1+{\left(1x\right)}^{2}}\, \mathrm d x $$	4
319	$$ \displaystyle\int^{3.14}_{0} sq{\cdot}\sqrt{t}{\cdot}\left(1+{\left(1x\right)}^{2}\right)\, \mathrm d x $$	4
320	$$ \displaystyle\int \dfrac{\sin\left(3x\right)}{\sin\left(4x\right)}\, \mathrm d x $$	4
321	$$ \displaystyle\int \sqrt{1+4{a}^{2}{x}^{2}}\, \mathrm d x $$	4
322	$$ \displaystyle\int^{3}_{0} -480ln{\cdot}-25{\cdot}\left(x-20\right)\, \mathrm d x $$	4
323	$$ \displaystyle\int \dfrac{12000}{500-25x}\, \mathrm d x $$	4
324	$$ \displaystyle\int \dfrac{1}{500-25x}\, \mathrm d x $$	4
325	$$ \displaystyle\int \dfrac{x}{{\left(1-{\mathrm{e}}^{-{x}^{2}}\right)}^{\frac{1}{2}}}\, \mathrm d x $$	4
326	$$ \displaystyle\int^{2}_{1} \dfrac{x}{{\left(1-{\mathrm{e}}^{-{x}^{2}}\right)}^{\frac{1}{2}}}\, \mathrm d x $$	4
327	$$ \displaystyle\int sq{\cdot}\sqrt{t}{\cdot}\left(1+18.84x\right)\, \mathrm d x $$	4
328	$$ $$	4
329	$$ $$	4
330	$$ \displaystyle\int \dfrac{{\left(1-\ln\left(\dfrac{1}{\sin\left(3x\right)}\right)\right)}^{\frac{1}{3}}}{\tan\left(3x\right)}\, \mathrm d x $$	4
331	$$ $$	4
332	$$ \displaystyle\int \dfrac{1}{2{x}^{2}-x-1}\, \mathrm d x $$	4
333	$$ \displaystyle\int {\left({x}^{2}-{a}^{2}\right)}^{4}\, \mathrm d x $$	4
334	$$ $$	4
335	$$ $$	4
336	$$ $$	4
337	$$ $$	4
338	$$ \displaystyle\int \dfrac{1}{{x}^{2}+4x+5}\, \mathrm d x $$	4
339	$$ \displaystyle\int {x}^{\frac{2}{3}}\, \mathrm d x $$	4
340	$$ \displaystyle\int 1\, \mathrm d x $$	4
341	$$ \displaystyle\int^{\infty}_{4} \dfrac{{x}^{2-1}{\cdot}{\mathrm{e}}^{\frac{-x}{4}}}{{4}^{2}{\cdot}1}\, \mathrm d x $$	4
342	$$ \displaystyle\int^{\infty}_{4} \dfrac{\left({x}^{2}-1\right){\cdot}\dfrac{{\mathrm{e}}^{-x}}{4}}{{4}^{2}}{\cdot}1\, \mathrm d x $$	4
343	$$ \displaystyle\int^{4}_{\infty} \dfrac{\dfrac{\left({x}^{2}-1\right){\cdot}{\mathrm{e}}^{-x}}{4}}{{4}^{2}}{\cdot}1\, \mathrm d x $$	4
344	$$ \displaystyle\int {x}^{3}{\cdot}\sin\left(x\right)\, \mathrm d x $$	4
345	$$ $$	4
346	$$ \displaystyle\int \dfrac{{\left({x}^{3}-{x}^{8}\right)}^{5}}{{x}^{-3}}\, \mathrm d x $$	4
347	$$ $$	4
348	$$ $$	4
349	$$ \displaystyle\int \dfrac{\dfrac{1}{{\left(2+x\right)}^{\frac{5}{2}}}{\cdot}1}{{x}^{2}}\, \mathrm d x $$	4
350	$$ \displaystyle\int \dfrac{4.75}{x}\, \mathrm d x $$	4