Find an antiderivative of the given function.
-$5 \sqrt { x } - 7$
A) $\frac { 10 } { 3 } x ^ { 3 / 2 } - 7 x$
B) $5 x ^ { 3 / 2 } - 7$
C) $\frac { 10 } { 3 } x ^ { 3 / 2 } - 7$
D) $5 x ^ { 3 / 2 } - 7 x$

Question

Quizplus · Accepted Answer

The antiderivative of $5\sqrt{x}$ is $\frac{10}{3}x^{3/2}$ because the integral of $x^{n}$ is $\frac{x^{n+1}}{n+1}$, and the antiderivative of $-7$ is $-7x$, since the integral of a constant is the constant times the variable.

Find an Antiderivative of the Given Function 5x−75 \sqrt { x } - 75x​−7

Find an Antiderivative of the Given Function $5 \sqrt { x } - 7$