Integrals – Solved Problems Database
All the problems and solutions shown below were generated using the Integral Calculator.
ID |
Problem |
Count |
51 | $$ \displaystyle\int \sqrt{{\left(\dfrac{3}{2}\right)}^{2}-{\left(x-\dfrac{5}{2}\right)}^{2}}\, \mathrm d x $$ | 3 |
52 | $$ \displaystyle\int \dfrac{1}{{x}^{5}}\, \mathrm d x $$ | 3 |
53 | $$ \displaystyle\int^{9}_{4} 3{\cdot}\sqrt{x}+\dfrac{1}{2x}\, \mathrm d x $$ | 3 |
54 | $$ $$ | 3 |
55 | $$ $$ | 3 |
56 | $$ $$ | 3 |
57 | $$ \displaystyle\int x{\cdot}{\left(\sin\left(x\right)\right)}^{-1}\, \mathrm d x $$ | 3 |
58 | $$ $$ | 3 |
59 | $$ $$ | 3 |
60 | $$ $$ | 3 |
61 | $$ \displaystyle\int \sqrt{x}{\cdot}\ln\left(x\right)\, \mathrm d x $$ | 3 |
62 | $$ $$ | 3 |
63 | $$ \displaystyle\int^{2.7}_{1} \dfrac{1}{x}\, \mathrm d x $$ | 3 |
64 | $$ \displaystyle\int \sin\left(x\right)\, \mathrm d x $$ | 3 |
65 | $$ $$ | 3 |
66 | $$ $$ | 3 |
67 | $$ \displaystyle\int^{0}_{3} x+3\, \mathrm d x $$ | 3 |
68 | $$ $$ | 3 |
69 | $$ $$ | 3 |
70 | $$ $$ | 3 |
71 | $$ $$ | 3 |
72 | $$ \displaystyle\int^{1}_{0} \ln\left(x\right)\, \mathrm d x $$ | 3 |
73 | $$ $$ | 3 |
74 | $$ $$ | 3 |
75 | $$ \displaystyle\int^{\infty}_{-1} {x}^{2}{\cdot}{\mathrm{e}}^{-{x}^{3}}\, \mathrm d x $$ | 3 |
76 | $$ $$ | 3 |
77 | $$ $$ | 3 |
78 | $$ $$ | 3 |
79 | $$ $$ | 3 |
80 | $$ \displaystyle\int 1\, \mathrm d x $$ | 3 |
81 | $$ \displaystyle\int \dfrac{2}{{{\pi}}^{2}}{\cdot}\ln\left(x\right){\cdot}{\left(\left(x+1\right){\cdot}\left(x-1\right)\right)}^{-1}\, \mathrm d x $$ | 3 |
82 | $$ \displaystyle\int 2x\, \mathrm d x $$ | 3 |
83 | $$ $$ | 3 |
84 | $$ \displaystyle\int \sqrt{1}-{x}^{3}\, \mathrm d x $$ | 3 |
85 | $$ \displaystyle\int {\left(2x-3\right)}^{4}\, \mathrm d x $$ | 3 |
86 | $$ \displaystyle\int \dfrac{1}{5-{x}^{2}}\, \mathrm d x $$ | 3 |
87 | $$ \displaystyle\int \ln\left(2\right){\cdot}x\, \mathrm d x $$ | 3 |
88 | $$ \displaystyle\int 3{x}^{2}+x+1\, \mathrm d x $$ | 3 |
89 | $$ \displaystyle\int x\, \mathrm d x $$ | 3 |
90 | $$ \displaystyle\int {x}^{3}{\cdot}\sqrt{1-{x}^{2}}\, \mathrm d x $$ | 3 |
91 | $$ \displaystyle\int^{1}_{-1} {\mathrm{e}}^{x}-1\, \mathrm d x $$ | 3 |
92 | $$ $$ | 3 |
93 | $$ $$ | 3 |
94 | $$ \displaystyle\int \sqrt{1-{x}^{2}}\, \mathrm d x $$ | 3 |
95 | $$ \displaystyle\int {\left(2{x}^{2}-1\right)}^{5}\, \mathrm d x $$ | 3 |
96 | $$ \displaystyle\int^{0.69314718}_{0} \mathrm{e}^{x}{\cdot}\sqrt{\mathrm{e}^{x}+4}\, \mathrm d x $$ | 3 |
97 | $$ \displaystyle\int^{\pi/3}_{\pi/6} {\left(\sin\left(x\right)\right)}^{4}\, \mathrm d x $$ | 3 |
98 | $$ \displaystyle\int {\left(\sin\left(x\right)\right)}^{4}\, \mathrm d x $$ | 3 |
99 | $$ \displaystyle\int \dfrac{\cos\left(x\right)}{\sin\left(x\right){\cdot}\left(2+\sin\left(x\right)\right)}\, \mathrm d x $$ | 3 |
100 | $$ \displaystyle\int {\left(1-{x}^{2}\right)}^{c}\, \mathrm d x $$ | 3 |