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	$$ \displaystyle\int \dfrac{1}{{x}^{2}+4x+5}\, \mathrm d x $$	4
352	$$ $$	4
353	$$ \displaystyle\int \dfrac{1}{2{x}^{2}-x-1}\, \mathrm d x $$	4
354	$$ $$	4
355	$$ $$	4
356	$$ \displaystyle\int sq{\cdot}\sqrt{t}{\cdot}\left(1+18.84x\right)\, \mathrm d x $$	4
357	$$ \displaystyle\int \sqrt{1+4{a}^{2}{x}^{2}}\, \mathrm d x $$	4
358	$$ \displaystyle\int \dfrac{\sin\left(3x\right)}{\sin\left(4x\right)}\, \mathrm d x $$	4
359	$$ \displaystyle\int^{1}_{0} {x}^{6}{\cdot}{\mathrm{e}}^{x}\, \mathrm d x $$	4
360	$$ $$	4
361	$$ \displaystyle\int {t}^{\frac{1}{2}}\, \mathrm d x $$	4
362	$$ \displaystyle\int \dfrac{2}{9}{\cdot}x\, \mathrm d x $$	4
363	$$ \displaystyle\int \left(2x+1\right){\cdot}\sqrt{{x}^{2}+4x+5}\, \mathrm d x $$	4
364	$$ \displaystyle\int xx\, \mathrm d x $$	4
365	$$ \displaystyle\int 8x{\cdot}\ln\left(x\right)\, \mathrm d x $$	4
366	$$ \displaystyle\int {\left(\sin\left(x\right)\right)}^{2}{\cdot}{\left(\cos\left(x\right)\right)}^{2}\, \mathrm d x $$	4
367	$$ \displaystyle\int 6{x}^{2}{\cdot}{\mathrm{e}}^{3{x}^{3}}\, \mathrm d x $$	4
368	$$ \displaystyle\int 6{x}^{2}{\cdot}{\mathrm{e}}^{3{x}^{3}}\, \mathrm d x $$	4
369	$$ \displaystyle\int^{-1}_{-4} \dfrac{1-{x}^{4}}{2{x}^{2}}\, \mathrm d x $$	4
370	$$ \displaystyle\int {\left({x}^{2}-1\right)}^{\frac{2}{3}}\, \mathrm d x $$	4
371	$$ \displaystyle\int \dfrac{1}{{x}^{3}}\, \mathrm d x $$	4
372	$$ \displaystyle\int 4{\cdot}\cos\left(\color{orangered}{\square}\right)\, \mathrm d x $$	4
373	$$ \displaystyle\int^{7}_{1} x\, \mathrm d x $$	4
374	$$ \displaystyle\int^{3}_{-1} \dfrac{14-6{x}^{2}}{4}\, \mathrm d x $$	4
375	$$ \displaystyle\int \sqrt{1-{x}^{2}}\, \mathrm d x $$	4
376	$$ $$	4
377	$$ \displaystyle\int^{8.682}_{0} {\left(-\sqrt{\dfrac{x}{10}}-\sin\left(0.5x\right)\right)}^{2}\, \mathrm d x $$	4
378	$$ \displaystyle\int x{\cdot}{\mathrm{e}}^{x}\, \mathrm d x $$	4
379	$$ \displaystyle\int \dfrac{{\left(1+\sqrt{x}\right)}^{\frac{1}{5}}}{x{x}^{\frac{9}{10}}}\, \mathrm d x $$	4
380	$$ $$	4
381	$$ \displaystyle\int {x}^{\frac{2}{5}}\, \mathrm d x $$	4
382	$$ $$	4
383	$$ \displaystyle\int {x}^{2}{\cdot}\sqrt{x}\, \mathrm d x $$	4
384	$$ $$	4
385	$$ $$	4
386	$$ $$	4
387	$$ $$	4
388	$$ $$	4
389	$$ $$	4
390	$$ $$	4
391	$$ $$	4
392	$$ $$	4
393	$$ \displaystyle\int x{\cdot}\sin\left(3{x}^{2}+{\pi}\right)\, \mathrm d x $$	4
394	$$ \displaystyle\int^{5}_{-5} \dfrac{1}{x}\, \mathrm d x $$	4
395	$$ $$	4
396	$$ $$	4
397	$$ $$	4
398	$$ \displaystyle\int \sqrt{{x}^{2}+1}\, \mathrm d x $$	4
399	$$ $$	4
400	$$ $$	4