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
101	$$ \displaystyle\int^{2.25}_{1} \dfrac{4.75}{x}\, \mathrm d x $$	6
102	$$ $$	6
103	$$ $$	6
104	$$ $$	6
105	$$ $$	6
106	$$ $$	6
107	$$ $$	6
108	$$ $$	6
109	$$ $$	6
110	$$ $$	6
111	$$ $$	6
112	$$ \displaystyle\int^{3}_{0} \dfrac{12000}{500-25x}\, \mathrm d x $$	6
113	$$ \displaystyle\int \dfrac{{2}^{x}-{2}^{-x}}{{2}^{x}+{2}^{-x}}\, \mathrm d x $$	6
114	$$ $$	6
115	$$ $$	6
116	$$ \displaystyle\int^{\infty}_{0} \dfrac{{x}^{3}}{{\mathrm{e}}^{x}-1}\, \mathrm d x $$	6
117	$$ \displaystyle\int \csc\left(x\right)\, \mathrm d x $$	6
118	$$ $$	6
119	$$ \displaystyle\int^{2\pi}_{0} \sin\left(x\right)\, \mathrm d x $$	6
120	$$ $$	6
121	$$ $$	6
122	$$ $$	6
123	$$ $$	6
124	$$ \displaystyle\int {x}^{2}{\cdot}\sqrt{3+2{x}^{2}}\, \mathrm d x $$	6
125	$$ $$	6
126	$$ $$	6
127	$$ \displaystyle\int^{\pi/4}_{0} x\, \mathrm d x $$	6
128	$$ $$	6
129	$$ \displaystyle\int^{1}_{0} \sin\left({x}^{2}\right)\, \mathrm d x $$	6
130	$$ $$	5
131	$$ $$	5
132	$$ \displaystyle\int^{\pi/2}_{0} \sqrt{\sin\left(x\right)}{\cdot}{\left(\cos\left(x\right)\right)}^{5}\, \mathrm d x $$	5
133	$$ $$	5
134	$$ $$	5
135	$$ $$	5
136	$$ $$	5
137	$$ $$	5
138	$$ \displaystyle\int^{7}_{0} 8{x}^{3}-{x}^{2}+5x-1\, \mathrm d x $$	5
139	$$ $$	5
140	$$ $$	5
141	$$ $$	5
142	$$ $$	5
143	$$ \displaystyle\int^{4}_{e} 1-{x}^{\mathrm{e}}+{\mathrm{e}}^{x}-{\mathrm{e}}^{\mathrm{e}}\, \mathrm d x $$	5
144	$$ $$	5
145	$$ $$	5
146	$$ $$	5
147	$$ $$	5
148	$$ \displaystyle\int {\mathrm{e}}^{2x}\, \mathrm d x $$	5
149	$$ $$	5
150	$$ \displaystyle\int \dfrac{1}{{x}^{3}+1}\, \mathrm d x $$	5