Find the area between each curve at the $x$-axis between the values of $x$ shown: \(y = 16 - x^2

Question

Find the area between each curve at the $x$-axis between the values of $x$ shown: $y = 16 - x^2$, $0 \leq x \leq 4$ $y = \sqrt{x}$, $4 \leq x \leq 16$ $y = e^{2x}$, $\ln 2 \leq x \leq \ln 4$ $y = \frac{1}{x^2} + 4$, $2 \leq x \leq 6$

Accepted Answer

(a) $\dfrac{128}{3}\text{ units}^2$; (b) $\dfrac{112}{3}\text{ units}^2$; (c) $6\text{ units}^2$; (d) $\dfrac{49}{3}\text{ units}^2$

Integration - Area Enclosed by the Curve and the X-Axis

Integration - Area Enclosed by the Curve and the X-Axis

Video Solution:

Solution:

Solution locked