Chapter 8, Problem 35RE

(a)

To determine

To calculate: The value of ${\displaystyle {\int }_{}^{}\frac{x^3}{\sqrt{4+x^2}}dx}$ using trigonometric substitution.

(b)

To determine

To calculate: The value of ${\displaystyle {\int }_{}^{}\frac{x^3}{\sqrt{4+x^2}}dx}$ using substitution.

(c)

To determine

To calculate: The value of ${\displaystyle {\int }_{}^{}\frac{x^3}{\sqrt{4+x^2}}dx}$ using different ways.