In the definite integral _ 1 ^ 3 6x ,e^ x^ 2 +2 ,dx

MATHEMATICS · Single correct · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

In the definite integral

\textstyle\int_{1}^{3} 6x\,e^{x^{2}+2}\,dx,

if the substitution

u=x^{2}+2

is made, which of the following gives the correct new limits of integration in terms of

u

? (a)

u: 11 \to 3

(b)

u: 3 \to 11

(c)

u: 1 \to 9

(d)

u: 3 \to 5