Q.9 - Calculus

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 $f\left(x\right)=\sin x$.

Step-by-Step Solution

Answer

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

Step 1. Given Information.

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

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 $f\left(x\right)=secx.$