Integrals – Solved Problems Database

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

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ID	Problem	Count
201	$$ \displaystyle\int \left({x}^{2}+3x-2\right){\cdot}{\left(x+5\right)}^{8}\, \mathrm d x $$	2
202	$$ \displaystyle\int \dfrac{1}{{x}^{3}-1}\, \mathrm d x $$	2
203	$$ \displaystyle\int \sqrt{10}{\cdot}x-1\, \mathrm d x $$	2
204	$$ $$	2
205	$$ $$	2
206	$$ $$	2
207	$$ \displaystyle\int \left({x}^{2}+2x\right){\cdot}\mathrm{e}^{3x}\, \mathrm d x $$	2
208	$$ $$	2
209	$$ \displaystyle\int^{2\pi}_{0} \sqrt{{\left(\dfrac{3}{2}\right)}^{2}-{\left(x-\dfrac{5}{2}\right)}^{2}}\, \mathrm d x $$	2
210	$$ $$	2
211	$$ $$	2
212	$$ \displaystyle\int^{5}_{1} \sqrt{5}\, \mathrm d x $$	2
213	$$ $$	2
214	$$ \displaystyle\int^{0}_{1} {x}^{2}\, \mathrm d x $$	2
215	$$ \displaystyle\int \dfrac{{p}^{4}}{\ln\left(1-x\right)}\, \mathrm d x $$	2
216	$$ \displaystyle\int^{\pi/2}_{0} \cos\left(2x\right){\cdot}\sin\left(x\right){\cdot}\sin\left(x\right)\, \mathrm d x $$	2
217	$$ $$	2
218	$$ \displaystyle\int \dfrac{1}{-\left(1+{\left(\sin\left(x\right)\right)}^{2}\right){\cdot}x}\, \mathrm d x $$	2
219	$$ $$	2
220	$$ $$	2
221	$$ $$	2
222	$$ \displaystyle\int \sqrt{2}-3x\, \mathrm d x $$	2
223	$$ $$	2
224	$$ \displaystyle\int^{1}_{0} -{x}^{2}+1\, \mathrm d x $$	2
225	$$ $$	2
226	$$ $$	2
227	$$ $$	2
228	$$ \displaystyle\int^{3}_{2} \sqrt{1+\dfrac{4}{{x}^{4}}}\, \mathrm d x $$	2
229	$$ \displaystyle\int {x}^{n}{\cdot}{\left(\cosh\left(x\right)\right)}^{n}{\cdot}ax\, \mathrm d x $$	2
230	$$ \displaystyle\int^{\pi}_{\pi/2} {\left(\csc\left(\dfrac{x}{2}\right)\right)}^{3}\, \mathrm d x $$	2
231	$$ \displaystyle\int \sqrt{1+\sin\left(x\right)}\, \mathrm d x $$	2
232	$$ \displaystyle\int -3x\, \mathrm d x $$	2
233	$$ \displaystyle\int \dfrac{x}{{x}^{3}+1}\, \mathrm d x $$	2
234	$$ $$	2
235	$$ \displaystyle\int^{4}_{0} \sqrt{1+{\left(\dfrac{-\left(x-\dfrac{5}{2}\right)}{{\left({\left(\dfrac{3}{2}\right)}^{2}-{\left(x-\dfrac{5}{2}\right)}^{2}\right)}^{\frac{1}{2}}}\right)}^{2}}\, \mathrm d x $$	2
236	$$ \displaystyle\int {\mathrm{e}}^{-3}{\cdot}x\, \mathrm d x $$	2
237	$$ $$	2
238	$$ \int^{\pi/6}_{0} \frac{{1}}{{\cos{{\left({x}\right)}}}} \, d\,x $$	2
239	$$ $$	2
240	$$ \displaystyle\int^{-3}_{-4} \dfrac{\ln\left(x\right)}{x+7}\, \mathrm d x $$	2
241	$$ \displaystyle\int^{\infty}_{200} \dfrac{20000}{{\left(x+100\right)}^{3}}\, \mathrm d x $$	2
242	$$ $$	2
243	$$ $$	2
244	$$ $$	2
245	$$ \displaystyle\int \sin\left(5x\right){\cdot}\sin\left(12x\right)\, \mathrm d x $$	2
246	$$ $$	2
247	$$ \displaystyle\int^{2}_{1} x-{\mathrm{e}}^{x}\, \mathrm d x $$	2
248	$$ $$	2
249	$$ \displaystyle\int 6x{\cdot}{\left(3+x\right)}^{-2}\, \mathrm d x $$	2
250	$$ \int \frac{{1}}{{{5}{x}^{{2}}+{3}}} \, d\,x $$	2