Chapter 12.2, Problem 43E

(a)

To determine

To calculate: The value of the integral ${\displaystyle \int \frac{7x^3}{{\left(x^3+4\right)}^2}dx}$.

(b)

To determine

To calculate: The value of the integral ${\displaystyle \int \frac{7x^2}{{\left(x^3+4\right)}^2}dx}$.

(c)

To determine

To calculate: The value of the integral ${\displaystyle \int \frac{\sqrt{x^2+4}}{x}dx}$.

(d)

To determine

An integral that looks as though it might use the power rule but cannot be solved using power rule.