What is the value of the integral of e^x from x = 1 to x = 2?
As the derivative of e^x is e^x, so is the integral (plus some constant). As we wish to find the value of the integral from x = 1 to x = 2, we substitute x=2 into e^x, and from that we subtract e^x with x=1. The answer is therefore e^2 - e^1, or equivalently e(e - 1).
JH
Related Maths A Level answers
All answers ▸Use integration by parts to evaluate: ∫xsin(x) dx.
Express: (x^2 + 5x - 14) / (2x^2 - 4x) as a fraction in it's simplest form.
Two particles A and B of mass 2kg and 3kg respectively are moving head on. A is moving at 5m/s and B is moving at 4m/s. After the collision, A rebounds at 4m/s. What is the speed of B and what direction is it moving in?
Solve (3x+6)/4 - (2x-6)/5 = (x+7)/8.