Define . of the following is…

MATHEMATICS · Single correct · CBSE · Mathematics · Integrals · Integrals

Problem

Define

G(x)=\displaystyle \int_{2}^{x^{2}} e^{t^{2}}\,dt-\int_{1}^{x} e^{t^{2}}\,dt

. Which of the following is

G'(x)

? (a)

2x\,e^{x^{4}}-e^{x^{2}}

(b)

e^{x^{4}}-e^{x^{2}}

(c)

2x\,e^{x^{4}}+e^{x^{2}}

(d)

2x\,e^{x^{4}}-2x\,e^{x^{2}}