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
351	$$ \displaystyle\int^{-1}_{-4} \dfrac{1-{x}^{4}}{2{x}^{2}}\, \mathrm d x $$	4
352	$$ \displaystyle\int {\left({x}^{2}-1\right)}^{\frac{2}{3}}\, \mathrm d x $$	4
353	$$ \displaystyle\int {\left({x}^{2}+{3}^{2}\right)}^{\frac{1}{2}}+\left({\left(8-x\right)}^{2}+{7}^{2}\right){\cdot}\dfrac{1}{2}\, \mathrm d x $$	4
354	$$ $$	4
355	$$ \displaystyle\int \dfrac{5x}{7-x}\, \mathrm d x $$	4
356	$$ \displaystyle\int \dfrac{x}{7-x}\, \mathrm d x $$	4
357	$$ $$	4
358	$$ $$	4
359	$$ $$	4
360	$$ \displaystyle\int \dfrac{18}{7-4x}+\dfrac{5}{7-4x}\, \mathrm d x $$	4
361	$$ \displaystyle\int \dfrac{18}{7-4x}+\dfrac{5x}{7-4x}\, \mathrm d x $$	4
362	$$ \displaystyle\int^{7}_{0} \dfrac{18}{7-4x}+\dfrac{5x}{7-4x}\, \mathrm d x $$	4
363	$$ \displaystyle\int^{1}_{0} \dfrac{18}{7-4x}+\dfrac{5x}{7-4x}\, \mathrm d x $$	4
364	$$ \displaystyle\int \sin\left(3\right){\cdot}x{\cdot}\cos\left(x\right)\, \mathrm d x $$	4
365	$$ $$	4
366	$$ $$	4
367	$$ \displaystyle\int {\left(2{x}^{2}-36x+398\right)}^{\frac{1}{2}}\, \mathrm d x $$	4
368	$$ \displaystyle\int 2{x}^{2}-36x+398\, \mathrm d x $$	4
369	$$ $$	4
370	$$ \displaystyle\int^{\pi/2}_{0} \sin\left(\color{orangered}{\square}\right)\, \mathrm d x $$	4
371	$$ \displaystyle\int 2{\cdot}{\left({\left(2{\cdot}\sin\left(2x\right)\right)}^{2}\right)}^{2}\, \mathrm d x $$	4
372	$$ $$	4
373	$$ $$	4
374	$$ \displaystyle\int^{\pi/3}_{0} \sin\left(x\right)\, \mathrm d x $$	4
375	$$ $$	4
376	$$ $$	4
377	$$ $$	4
378	$$ \displaystyle\int^{\pi/4}_{0} \cos\left(x\right)\, \mathrm d x $$	4
379	$$ \displaystyle\int^{\pi/4}_{\pi} \cos\left(x\right)\, \mathrm d x $$	4
380	$$ $$	4
381	$$ $$	4
382	$$ $$	4
383	$$ $$	4
384	$$ \displaystyle\int^{2}_{2} \dfrac{\dfrac{{x}^{2}}{8}}{x}\, \mathrm d x $$	4
385	$$ \displaystyle\int^{3}_{-1} \dfrac{14-6{x}^{2}}{4}\, \mathrm d x $$	4
386	$$ \displaystyle\int \sqrt{1-{x}^{2}}\, \mathrm d x $$	4
387	$$ \displaystyle\int^{8.682}_{0} {\left(-\sqrt{\dfrac{x}{10}}-\sin\left(0.5x\right)\right)}^{2}\, \mathrm d x $$	4
388	$$ \displaystyle\int x{\cdot}{\mathrm{e}}^{x}\, \mathrm d x $$	4
389	$$ \displaystyle\int {x}^{2}{\cdot}\sqrt{x}\, \mathrm d x $$	4
390	$$ \displaystyle\int {x}^{\frac{2}{5}}\, \mathrm d x $$	4
391	$$ $$	4
392	$$ $$	4
393	$$ $$	4
394	$$ $$	4
395	$$ $$	4
396	$$ $$	4
397	$$ \displaystyle\int x{\cdot}\sin\left(3{x}^{2}+{\pi}\right)\, \mathrm d x $$	4
398	$$ \displaystyle\int^{5}_{-5} \dfrac{1}{x}\, \mathrm d x $$	4
399	$$ $$	4
400	$$ $$	4