What is antiderivative of function y=e^(5x-14)?

Asked on by agneslund

1 Answer | Add Yours

Top Answer

giorgiana1976's profile pic

giorgiana1976 | College Teacher | (Level 3) Valedictorian

Posted on

The antiderivative of the given function is the primitive of the function, that differentiated with respect to x, gives the function y.

We'll have to take the inverse operation and to integrate the given function, to determine it's primitive.

`int` dy = `int` `e^(5x-14)` dx

We'll substitute 5x - 14 by t:

5x - 14 = t

We'll differentiste both sides:

5dx =dt => dx = dt/5

`int` `e^(5x-14)` dx = (1/5)`int` `e^(t)` dt = `e^(t)` /5 + C

Therefore, the requested antiderivative of the given function is Y = `e^(5x-14)` /5 + C.

We’ve answered 319,816 questions. We can answer yours, too.

Ask a question