Calculus

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Antiderivatives


  1. $\displaystyle\int\frac{x^{\frac{3}{2}}}{\sqrt[3]x}dx=$


  2. $\displaystyle\int\cot^2\theta d\theta=$


  3. $\displaystyle\int\frac{dx}{\sin{x}+1}=$


  4. $\displaystyle\int\frac{\sin^5x}{\cos^2x}dx=$


  5. $\displaystyle\int x^2 e^{x^3}dx=$


  6. $\displaystyle\int2x(x^2+4)^3dx=$


  7. $\displaystyle\int\sec^2\frac{x}{3}dx=$


  8. $\displaystyle\int\frac{x^2+4}{x+2}dx=$


  9. $\displaystyle\int(x+3)(x-1)^3dx=$


  10. $\displaystyle\int\frac{x+5}{2x+3}dx=$


  11. $\displaystyle\int\frac{(3+\ln x)^2(2-\ln x)}{4x}dx=$


  12. $\displaystyle\int\frac{\sin(\ln(x))}{x}dx=$


  13. $\displaystyle\int\frac{3}{x\ln(x)}dx=$


  14. $\displaystyle\int e^{-x}+\sec^2\left(\frac{x}{10}\right)dx=$