Integrals
(the database of solved problems)
All the problems and solutions shown below were generated using the Integral Calculator.
| ID |
Problem |
Count |
| 2201 | $$ \displaystyle\int \tan\left(t\right){\cdot}\left(3{\cdot}\cos\left(t\right)-3{\cdot}\csc\left(t\right)\right)\, \mathrm d x $$ | 1 |
| 2202 | $$ \displaystyle\int 4{x}^{2}+2{x}^{6}-5x-2+{x}^{-1}-3{x}^{-2}+5{x}^{-3}\, \mathrm d x $$ | 1 |
| 2203 | $$ \displaystyle\int {x}^{2}{\cdot}\cos\left(3\right){\cdot}x\, \mathrm d x $$ | 1 |
| 2204 | $$ \displaystyle\int {x}^{2}{\cdot}\cos\left(3x\right)\, \mathrm d x $$ | 1 |
| 2205 | $$ \displaystyle\int^{5}_{1} 4{x}^{2}+2{x}^{6}-5x-2\, \mathrm d x $$ | 1 |
| 2206 | $$ \displaystyle\int {x}^{3}{\cdot}\cos\left(2x\right)\, \mathrm d x $$ | 1 |
| 2207 | $$ \displaystyle\int^{\pi}_{0} \dfrac{6s}{3{s}^{2}-1}\, \mathrm d x $$ | 1 |
| 2208 | $$ \displaystyle\int^{4}_{2} \dfrac{6s}{3{s}^{2}-1}\, \mathrm d x $$ | 1 |
| 2209 | $$ \displaystyle\int \sec\left(x\right)\, \mathrm d x $$ | 1 |
| 2210 | $$ \displaystyle\int^{2 \pi}_{0} \dfrac{1}{3-2{\cdot}\cos\left(x\right)+\sin\left(x\right)}\, \mathrm d x $$ | 1 |
| 2211 | $$ $$ | 1 |
| 2212 | $$ $$ | 1 |
| 2213 | $$ \displaystyle\int^{1}_{0} \dfrac{\left(a+{x}^{2}\right){\cdot}{\left(\ln\left(\dfrac{1}{x}\right)\right)}^{4}}{1+{x}^{2}}\, \mathrm d x $$ | 1 |
| 2214 | $$ \displaystyle\int {\left(1+x\right)}^{1000}\, \mathrm d x $$ | 1 |
| 2215 | $$ \displaystyle\int {x}^{5}{\cdot}\sqrt{{x}^{3}+1}\, \mathrm d x $$ | 1 |
| 2216 | $$ $$ | 1 |
| 2217 | $$ $$ | 1 |
| 2218 | $$ $$ | 1 |
| 2219 | $$ $$ | 1 |
| 2220 | $$ \displaystyle\int {\left(\cos\left(2x\right)\right)}^{2}\, \mathrm d x $$ | 1 |
| 2221 | $$ $$ | 1 |
| 2222 | $$ $$ | 1 |
| 2223 | $$ \displaystyle\int {x}^{2}{\cdot}\mathrm{e}^{-a{x}^{2}}\, \mathrm d x $$ | 1 |
| 2224 | $$ \displaystyle\int \dfrac{{x}^{2}}{{\left(1-{x}^{2}\right)}^{2}}\, \mathrm d x $$ | 1 |
| 2225 | $$ \displaystyle\int \dfrac{3}{{t}^{2}+3}\, \mathrm d x $$ | 1 |
| 2226 | $$ \displaystyle\int^{3}_{0} \dfrac{3}{{t}^{2}+3}\, \mathrm d x $$ | 1 |
| 2227 | $$ $$ | 1 |
| 2228 | $$ $$ | 1 |
| 2229 | $$ $$ | 1 |
| 2230 | $$ $$ | 1 |
| 2231 | $$ $$ | 1 |
| 2232 | $$ \displaystyle\int 5{\mathrm{e}}^{x}\, \mathrm d x $$ | 1 |
| 2233 | $$ \displaystyle\int {x}^{3}{\cdot}\left(5x-8\right)\, \mathrm d x $$ | 1 |
| 2234 | $$ $$ | 1 |
| 2235 | $$ \displaystyle\int -2{\cdot}\sec\left(2x\right){\cdot}\tan\left(2x\right)\, \mathrm d x $$ | 1 |
| 2236 | $$ \displaystyle\int x{\cdot}\sqrt{x+6}\, \mathrm d x $$ | 1 |
| 2237 | $$ \displaystyle\int \dfrac{\cos\left(x\right)}{\sqrt{{x}^{2}+1}}\, \mathrm d x $$ | 1 |
| 2238 | $$ \displaystyle\int^{10}_{0} \dfrac{\cos\left(x\right)}{s}{\cdot}q{\cdot}\sqrt{t}{\cdot}\left({x}^{2}+1\right)\, \mathrm d x $$ | 1 |
| 2239 | $$ \displaystyle\int^{10}_{0} \dfrac{\cos\left(x\right)}{s}{\cdot}qsq{\cdot}\sqrt{t}{\cdot}t{\cdot}\left({x}^{2}+1\right)\, \mathrm d x $$ | 1 |
| 2240 | $$ \int {\sin{{x}}} \, d\,x $$ | 1 |
| 2241 | $$ \int^{3}_{1} {\sin{{\left({x}\right)}}} \, d\,x $$ | 1 |
| 2242 | $$ \displaystyle\int i{\cdot}nt{\cdot}3x\, \mathrm d x $$ | 1 |
| 2243 | $$ \displaystyle\int \dfrac{1}{x{\cdot}\sqrt{4{\pi}}}{\cdot}\mathrm{e}^{\dfrac{-{\left(\ln\left(x-5\right)\right)}^{2}}{4}}\, \mathrm d x $$ | 1 |
| 2244 | $$ \displaystyle\int \mathrm{sech}\left(x\right){\cdot}\mathrm{sech}\left(t-x\right)\, \mathrm d x $$ | 1 |
| 2245 | $$ \displaystyle\int \mathrm{sech}\left(x\right){\cdot}\mathrm{e}^{2{\pi}{\cdot}i{\cdot}xt}\, \mathrm d x $$ | 1 |
| 2246 | $$ \displaystyle\int \mathrm{sech}\left(x\right){\cdot}\mathrm{e}^{2{\pi}{\cdot}i{\cdot}xt}\, \mathrm d x $$ | 1 |
| 2247 | $$ \displaystyle\int \dfrac{2x+13}{2xx+1}\, \mathrm d x $$ | 1 |
| 2248 | $$ \displaystyle\int \sqrt{x+11}\, \mathrm d x $$ | 1 |
| 2249 | $$ \displaystyle\int^{6}_{0} 4-x\, \mathrm d x $$ | 1 |
| 2250 | $$ \displaystyle\int \cos\left(x\right)\, \mathrm d x $$ | 1 |