Integrals
(the database of solved problems)
All the problems and solutions shown below were generated using the Integral Calculator.
| ID |
Problem |
Count |
| 3051 | $$ \displaystyle\int \cos\left(x\right){\cdot}\sin\left(x\right)\, \mathrm d x $$ | 1 |
| 3052 | $$ $$ | 1 |
| 3053 | $$ $$ | 1 |
| 3054 | $$ \displaystyle\int \sqrt{{\left(\sin\left(\dfrac{x}{3}\right)\right)}^{6}+{\left(\cos\left(\dfrac{x}{3}\right){\cdot}{\left(\sin\left(\dfrac{x}{3}\right)\right)}^{2}\right)}^{2}}\, \mathrm d x $$ | 1 |
| 3055 | $$ \displaystyle\int^{4}_{\infty} \dfrac{\left({x}^{2}-1\right){\cdot}\dfrac{{\mathrm{e}}^{-x}}{4}}{{4}^{2}}{\cdot}1\, \mathrm d x $$ | 1 |
| 3056 | $$ \displaystyle\int \dfrac{\cos\left(4x\right)}{\sin\left(2x\right){\cdot}\cos\left(2x\right)}\, \mathrm d x $$ | 1 |
| 3057 | $$ \displaystyle\int \dfrac{\cos\left(4x\right)}{\sin\left(2x\right){\cdot}\cos\left(2x\right)}\, \mathrm d x $$ | 1 |
| 3058 | $$ $$ | 1 |
| 3059 | $$ \displaystyle\int \dfrac{\cos\left(4x\right)}{\sin\left(2x\right){\cdot}\cos\left(2x\right)}\, \mathrm d x $$ | 1 |
| 3060 | $$ \displaystyle\int \sqrt{1-{\left(\dfrac{1}{x}\right)}^{2}}\, \mathrm d x $$ | 1 |
| 3061 | $$ \displaystyle\int \dfrac{5{x}^{2}}{7}+8{x}^{3}\, \mathrm d x $$ | 1 |
| 3062 | $$ $$ | 1 |
| 3063 | $$ $$ | 1 |
| 3064 | $$ $$ | 1 |
| 3065 | $$ $$ | 1 |
| 3066 | $$ $$ | 1 |
| 3067 | $$ $$ | 1 |
| 3068 | $$ $$ | 1 |
| 3069 | $$ \displaystyle\int^{3}_{0} \mathrm{e}^{-1.25}{\cdot}x\, \mathrm d x $$ | 1 |
| 3070 | $$ \displaystyle\int^{3}_{0} \mathrm{e}^{-1.25x}\, \mathrm d x $$ | 1 |
| 3071 | $$ \displaystyle\int \ln\left(2x\right)\, \mathrm d x $$ | 1 |
| 3072 | $$ \displaystyle\int x{\cdot}{\left(\tan\left(5x\right)\right)}^{-1}\, \mathrm d x $$ | 1 |
| 3073 | $$ $$ | 1 |
| 3074 | $$ $$ | 1 |
| 3075 | $$ $$ | 1 |
| 3076 | $$ $$ | 1 |
| 3077 | $$ $$ | 1 |
| 3078 | $$ $$ | 1 |
| 3079 | $$ $$ | 1 |
| 3080 | $$ \displaystyle\int \dfrac{1}{{\left({x}^{2}-x+2\right)}^{3}}\, \mathrm d x $$ | 1 |
| 3081 | $$ \displaystyle\int^{\pi}_{e} \sin\left(\color{orangered}{\square}\right)\, \mathrm d x $$ | 1 |
| 3082 | $$ $$ | 1 |
| 3083 | $$ $$ | 1 |
| 3084 | $$ $$ | 1 |
| 3085 | $$ $$ | 1 |
| 3086 | $$ $$ | 1 |
| 3087 | $$ $$ | 1 |
| 3088 | $$ $$ | 1 |
| 3089 | $$ $$ | 1 |
| 3090 | $$ $$ | 1 |
| 3091 | $$ \int {2}\frac{{x}^{{2}}}{\pi}{\left({\ln{{\left({\tan{{\left({x}-{2}\right)}}}\right)}}}\right)} \, d\,x $$ | 1 |
| 3092 | $$ \int^{0}_{-1} {2}\frac{{x}^{{2}}}{\pi}{\left({\ln{{\left({\tan{{\left({x}-{2}\right)}}}\right)}}}\right)} \, d\,x $$ | 1 |
| 3093 | $$ \displaystyle\int^{1}_{0} \dfsqrtac{\sqsqrtt{x}}{\sqsqrtt{x-{sqrt}^{2}}}\, \mathsqrtm d x $$ | 1 |
| 3094 | $$ $$ | 1 |
| 3095 | $$ $$ | 1 |
| 3096 | $$ $$ | 1 |
| 3097 | $$ $$ | 1 |
| 3098 | $$ $$ | 1 |
| 3099 | $$ $$ | 1 |
| 3100 | $$ $$ | 1 |
