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
951	$$ \displaystyle\int \dfrac{{x}^{7}}{x+1}\, \mathrm d x $$	2
952	$$ \displaystyle\int^{4}_{0} \dfrac{{x}^{\frac{3}{2}}}{x+1}\, \mathrm d x $$	2
953	$$ \displaystyle\int \sqrt{\dfrac{1+9{x}^{4}}{{x}^{3}-1}}\, \mathrm d x $$	2
954	$$ \displaystyle\int 2x-3\, \mathrm d x $$	2
955	$$ \displaystyle\int \dfrac{{\mathrm{e}}^{x}}{{\left(1-x\right)}^{2}}\, \mathrm d x $$	2
956	$$ \displaystyle\int^{2}_{0} x+6-{x}^{2}+4x-6\, \mathrm d x $$	2
957	$$ 3 $$	2
958	$$ \displaystyle\int \ln\left(\sin\left(x\right)\right)\, \mathrm d x $$	2
959	$$ \displaystyle\int \ln\left(\sin\left(x\sqrtight)\sqrtight)\, \mathsqrtm d x $$	2
960	$$ \displaystyle\int \sqrt{x}\, \mathrm d x $$	2
961	$$ \displaystyle\int^{\infty}_{-\infty} \dfrac{1}{{x}^{2}+2x+5}\, \mathrm d x $$	2
962	$$ \displaystyle\int \dfrac{1}{{x}^{5}}\, \mathrm d x $$	2
963	$$ \displaystyle\int \dfrac{x}{{\left(\sqrt{x}\right)}^{2}+4}\, \mathrm d x $$	2
964	$$ \displaystyle\int \dfrac{x}{{\left({x}^{2}+4\right)}^{\frac{1}{2}}}\, \mathrm d x $$	2
965	$$ \displaystyle\int^{0}_{-\infty} {\mathrm{e}}^{3x}\, \mathrm d x $$	2
966	$$ $$	2
967	$$ $$	2
968	$$ \displaystyle\int \tan\left(\color{orangered}{\square}\right)\, \mathrm d x $$	2
969	$$ x $$	2
970	$$ x $$	2
971	$$ \displaystyle\int^{\pi}_{-\pi} \sin\left(2\right){\cdot}x{\cdot}\cos\left(x\right)\, \mathrm d x $$	2
972	$$ \displaystyle\int^{\pi}_{-\pi} \sin\left(2\right){\cdot}x{\cdot}\cos\left(2\right){\cdot}x\, \mathrm d x $$	2
973	$$ $$	2
974	$$ $$	2
975	$$ $$	2
976	$$ $$	2
977	$$ \displaystyle\int^{10}_{0} {x}^{8}-126\, \mathrm d x $$	2
978	$$ \displaystyle\int \dfrac{\sqrt{4-{x}^{2}}}{x}\, \mathrm d x $$	2
979	$$ \displaystyle\int {\left({x}^{2}-1\right)}^{\frac{1}{2}}\, \mathrm d x $$	2
980	$$ \displaystyle\int \dfrac{{x}^{2}}{2}\, \mathrm d x $$	2
981	$$ \displaystyle\int {\left({x}^{2}+2\right)}^{\frac{3}{2}}\, \mathrm d x $$	2
982	$$ \displaystyle\int^{9}_{1} \dfrac{5}{\sqrt{x}{\cdot}{\left(\sqrt{x}+1\right)}^{2}}\, \mathrm d x $$	2
983	$$ \displaystyle\int \left(2x+1\right){\cdot}\sqrt{{x}^{2}+x+1}\, \mathrm d x $$	2
984	$$ \displaystyle\int \dfrac{{x}^{2}-2}{{x}^{4}+4}\, \mathrm d x $$	2
985	$$ \displaystyle\int \dfrac{1}{\sqrt{x{\cdot}\left(1-2x\right)}}\, \mathrm d x $$	2
986	$$ \displaystyle\int^{0}_{1} \dfrac{1}{2+{x}^{2}}\, \mathrm d x $$	2
987	$$ \displaystyle\int^{9}_{4} \dfrac{{\left({x}^{\frac{1}{2}}+3\right)}^{2}}{2{x}^{\frac{1}{2}}}\, \mathrm d x $$	2
988	$$ \displaystyle\int \sqrt{25}-{x}^{2}\, \mathrm d x $$	2
989	$$ \displaystyle\int {\left(25-{x}^{2}\right)}^{\frac{1}{2}}\, \mathrm d x $$	2
990	$$ \displaystyle\int \cos\left(-7r\right)\, \mathrm d x $$	2
991	$$ \displaystyle\int \sin\left(-7x\right)\, \mathrm d x $$	2
992	$$ \displaystyle\int 47x{\cdot}{\left(\cos\left(x\right)\right)}^{2}\, \mathrm d x $$	2
993	$$ \displaystyle\int \dfrac{{x}^{3}}{2x-1}\, \mathrm d x $$	2
994	$$ \displaystyle\int {\left(\sin\left(5x\right)\right)}^{2}\, \mathrm d x $$	2
995	$$ $$	2
996	$$ \displaystyle\int \dfrac{{\mathrm{e}}^{x}}{{\mathrm{e}}^{x}}\, \mathrm d x $$	2
997	$$ \displaystyle\int 10{\cdot}\sqrt{\sin\left(x\right)}\, \mathrm d x $$	2
998	$$ $$	2
999	$$ \displaystyle\int {\mathrm{e}}^{-x}{\cdot}\sin\left(x\right)\, \mathrm d x $$	2
1000	$$ $$	2