Evaluate the indefinite integral: ${\int }_{}^{}{x}^{2}dx$

Find $f\left(x\right)$ by evaluating the following indefinite integral.

$f\left(x\right)=\int (8x^7+10x-20)dx$

Which of the following expressions is equivalent to the indefinite integral ${\int }_{}^{}(5x^3+11x+2)dx$?

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

Evaluate the indefinite integral: $\int cos\left(6t\right) dt$

Evaluate the indefinite integral. (Use c for the constant of integration.)

$${\int }_{}^{}\frac{sin\left(t\right)}{1+cos\left(t\right)} dt$$

Evaluate the indefinite integral: $\int 9x^2 dx$

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

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