Question

What is the value of integral (2 to 5): (d(2x-5)^4 / dx) * dx ?

Answer 1

Do you mean this?
\[\int\limits_{2}^{5}\frac{d(2x-5)^4}{dx}dx\]

Answer 2

this is integrated using the extended form of the power rule

Intregral of ax^m = a x^(m+1) / (m+1)

Answer 3

Yes @tom982

Answer 4

here you are replacing x by 2x-5 so you multiply by 1/2 ( 1 divided by the coefficient of x)

Answer 5

oh - you are integrating the derivative of (2x - 5)^4 I misread the question

Answer 6

Doesn't the integral of the derivative just cancels out leave us with:
\[\left[(2x-5)^4 \right]_2^5=624\]

Answer 7

yes

Answer 8

Thanks for the medal :)