Problems

Find the following indefinite integrals:

• $\int (x^2 - 3x + 3 - \frac{1}{x})dx$,
• $\int (\cos(t) - \sqrt{t}) dt$,
• $\int (\sec(t)\tan(t) - \sec^2(t))dt$,
• $\int (2^t + 3^t + 4^t)dt$,
• $\int (t - \frac{1}{t})^2 dt$,
• $\int (x +\sqrt{x})^2 dx$,
• $\int (4e^x - \sin(x))dx$,
• $\int \sin(t - 2) dt$.
• $\int (x^{\frac{1}{3}} + x^{-\frac{2}{3}}) dx$,
• $\int \frac{x^3 + 1}{x(x + 1)} dx$.