Determine a primitive function to

f(x) = e^-x + 1/√1-x^2 + cos(πx)

Question

Determine a primitive function to

f(x) = e^-x + 1/√1-x^2 + cos(πx)

eliesaab · Answer

$$
f(x)= e^{-x}+ \frac{1}{\sqrt{1-x^2}}+\cos (\pi  x)
$$

eliesaab · Answer

Is your function like the above?
Take the primitive of each one of them and add them up

eliesaab · Answer

The first and the last one are easy.
The second one think about a inverse trig function

eliesaab · Answer

eliesaab · Answer

It seems that you are not here. Anyway, you have enough hints to finish your problem

johnw · Answer

yes, it´s the same

johnw · Answer

I´m here, but I didn´t get any response from anybody for like an hour so I did something else :)

eliesaab · Answer

What is a primitive of $ e^{-x}$?

eliesaab · Answer

Remember that the derivative of $ e^{ a x}$ is $ a e^{ax}$ where is a constant.

johnw · Answer

so the primitive of e^-x is -e^-x? Or is it + a constant?

johnw · Answer

Time for bed. Here in Sweden it´s half past midnight :) I´ll leave the question open....