Chapter 3.2, Problem 123E

For the following exercises, use this information: The inner product of two functions f and g over [a, b] is de?ned by $f\left(x\right)\cdot g\left(x\right)=\langle f,g\rangle ={\displaystyle {\int }_a^{b}f}\cdot gdx$ . Two distinct functions f and g are said to be orthogonal if $\langle f,g\rangle =0$ .

123. Integrate $y^{\prime }=\sqrt{\tan x}{\sec }^{4}x$ .