Write the GENERAL antiderivative of $f(x)=8x^6$.

A function has $g^{\prime }\left(x\right)=-6x^4$ and $g(5)=3$. What is the constant of integration in $g(x)=-\frac{6}{5}{x}^5+C$?

A function has $p^{\prime }\left(x\right)=-8x^3$ and $p(5)=5$. What is the constant of integration in $p(x)=-2x^4+C$?

A function has $r^{\prime }\left(x\right)=5x^2$ and $r(-6)=3$. What is the constant of integration in $r(x)=\frac{5}{3}{x}^3+C$?

Write the GENERAL antiderivative of $f(x)=-4x^8$.

A function has $v^{\prime }\left(x\right)=-6x-6$ and $v(2)=0$. Find $v(-2)$.

Two antiderivatives of the same continuous function on an interval differ by what?

A function has $w^{\prime }\left(x\right)=2x^3$ and $w(-2)=4$. What is the constant of integration in $w(x)=\frac{1}{2}{x}^4+C$?

Write the GENERAL antiderivative of $f(x)=3x^5$.

A function has $r^{\prime }\left(x\right)=-2x^3$ and $r(-4)=-8$. What is the constant of integration in $r(x)=-\frac{1}{2}{x}^4+C$?

Which member of the family $y=-6x^2+C$ passes through the point $\left(-2,-1\right)$?

A function has $g^{\prime }\left(x\right)=2x-4$ and $g(-3)=0$. Find $g(2)$.

A function has $r^{\prime }\left(x\right)=-8x^3$ and $r(-4)=2$. What is the constant of integration in $r(x)=-2x^4+C$?

Write the GENERAL antiderivative of $f(x)=-3x^6$.

A function has $w^{\prime }\left(x\right)=-5x^3$ and $w(2)=6$. What is the constant of integration in $w(x)=-\frac{5}{4}{x}^4+C$?

Write the GENERAL antiderivative of $f(x)=3x^7$.

How many antiderivatives does a continuous function have on an interval?

Write the GENERAL antiderivative of $f(x)=-7x^5$.

A function has $s^{\prime }\left(x\right)=2x-4$ and $s(1)=0$. Find $s(-1)$.

Which member of the family $y=-6x^2+C$ passes through the point $\left(-4,9\right)$?

What does the $+C$ in an indefinite integral represent?

A function has $f^{\prime }\left(x\right)=2x+2$ and $f(-3)=0$. Find $f(3)$.

Why does a DEFINITE integral not carry a $+C$?

A function has $u^{\prime }\left(x\right)=9x$ and $u(-4)=-5$. What is the constant of integration in $u(x)=\frac{9}{2}{x}^2+C$?