FTC and Definite Integrals

AP Calculus AB· difficulty 4/5

G(x) = \int_a^{x^2} f(t)\,dt

A
$f(x^2)$
B
$f(x^2) \cdot 2x$
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C
$2x f(x)$
D
$f(x)$

Explanation

G'(x) = f(x^2) \cdot \frac{d}{dx}(x^2) = 2x f(x^2)

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