Chapter 12.2, Problem 44E

(a)

To determine

To calculate: The value of the integral ${\displaystyle \int \frac{{\left(2x^5+1\right)}^{7/2}}{3x^4}dx}$.

(b)

To determine

To calculate: The value of the integral ${\displaystyle \int 10x{\left(2x^5+1\right)}^{7/2}dx}$.

(c)

To determine

To calculate: The value of the integral ${\displaystyle \int \frac{5x^3}{{\left(2x^4+1\right)}^{7/2}}dx}$.

(d)

To determine

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