Question

Explain why at this point we don’t have an integration formula for the function$f\left(x\right)=secx$ whereas we do have an integration formula for $f\left(x\right)=\sin x$.

Short answer

There is no integration formula for$f\left(x\right)=secx$because it is unknown at this time.

Step-by-step solution

Step 1. Given Information.

The two functions given are$f\left(x\right)=secxandf\left(x\right)=\sin x.$

Step 2. Explanation.

We can explain the reason as, At this point of time the derivative of $secx$is still unknown where as the derivative of $\sin x=-\cos x$is known.

Therefore, at this point of time there is no integration formula for the function $f\left(x\right)=secx.$