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 ▸Find the acute angle between the two lines... l1: r = (4, 28, 4) + λ(-1, -5, 1), l2: r = (5, 3, 1) + μ(3, 0, -4)
What is product rule differentiation?
How do I differentiate the trigonometric functions sin(x) and cos(x) ?
A curve has equation y = 20x −x2 −2x3 . (A) Find the x-coordinates of the stationary points of the curve.