The integral is to be evaluated after the change of variable

MATHEMATICS · Single correct · A Level · Mathematics · Integration · Integration

Problem

The integral

\displaystyle\int_{1}^{2} \sin(x^{2})\,2x\,dx

is to be evaluated after the change of variable

u = x^{2}

. What will be the corresponding limits of integration in terms of

u

? (a)

u : 1 \text{ to } 4

(b)

u : 0 \text{ to } 3

(c)

u : 2 \text{ to } 4

(d)

u : 1 \text{ to } 2