Using an upper-case C for any arbitrary constants, find the general indefinite integral: ${\int }_{}^{}{x}^{2}dx$ =

Evaluate the indefinite integral as a power series: $\int \arctan \left(x\right)x dx$

Evaluate the indefinite integral as an infinite series: ${\int }_{}^{}\frac{cos\left(x\right)-1}{x}dx$.

Evaluate the indefinite integral. Remember to include the constant of integration.
$${\int }_{}^{}{(\ln (x\left)\right)}^{2}dx$$

Evaluate the indefinite integral: ${\int }_{}^{}(x^3-8x^2-7x+10)dx$

Evaluate the indefinite integral. (Remember the constant of integration.) $\int ln\left(x\right) dx$

Evaluate the integral. (Use c for the constant of integration.) $\int x^2\ln \left(x\right) dx$

Evaluate the integral. (Use c for the constant of integration.) $\int \ln \left(x\right) dx$

Evaluate the indefinite integral: $\int 4x dx$