Provide an appropriate response.
-Suppose that $\int _ { 1 } ^ { x } f ( t ) d t = 6 x ^ { 2 } + 5 x - 3$. Find $f ( x )$
A) $12 x + 5$
B) $2 x ^ { 3 } + 2 x ^ { 2 } - 3 x - 8$
C) $6 x ^ { 2 } + 5 x - 3$
D) $2 x ^ { 3 } + \frac { 5 } { 2 } x ^ { 2 } - 3 x$

Question

Quizplus · Accepted Answer

The derivative of the integral $\int _ { 1 } ^ { x } f ( t ) d t = 6 x ^ { 2 } + 5 x - 3$ with respect to $x$ gives $f(x)$, which is $12x + 5$.

Provide an Appropriate Response ∫1xf(t)dt=6x2+5x−3\int _ { 1 } ^ { x } f ( t ) d t = 6 x ^ { 2 } + 5 x - 3∫1x​f(t)dt=6x2+5x−3

Provide an Appropriate Response $\int _ { 1 } ^ { x } f ( t ) d t = 6 x ^ { 2 } + 5 x - 3$