- Compute the following indefinite integrals. Don’t forget the constant of integration!
- [latex]\int x^2 + x \ dx[/latex]
[latex]\frac{1}{3}x^3 + \frac{1}{2}x^2 + C[/latex]ans
- [latex]\int \sqrt{x} + \sqrt[3]{x} \ dx[/latex]
[latex]\frac{2}{3} x^{3/2} + \frac{3}{4}x^{4/3} + C[/latex]ans
- [latex]\int \frac{2}{x} \ dx[/latex]
[latex]2 \ln(x)[/latex] Wait! I mean [latex]2 \ln(x) + C[/latex]. Oops!ans
- [latex]\int (3x + 1)^2 \ dx[/latex]
[latex]3x^3 + 3x^2 + x + C[/latex]ans
- [latex]\int \frac{x + 1}{x} \ dx[/latex]
[latex]\frac{1}{2} x^2 + \ln(x) + C[/latex]ans
- [latex]\int 3x^2 + 2x + 1 \ dx[/latex]
[latex]x^3 + x^2 + x + C[/latex]ans
- [latex]\int x^2 + x \ dx[/latex]