Which of the following is an antiderivative of $f\left(x\right)=1+x^3$?

Which of the following is an antiderivative of $f\left(x\right)=\cos (x^2-5)$?

If $f\left(x\right)$ and $g\left(x\right)$ are both antiderivatives of the same function, what must be true about $f\left(x\right)$ and $g\left(x\right)$?

Which of the following is an antiderivative of $\cos x$?

Which of the following is an antiderivative of the function $f\left(x\right)=\cos x$?

Which of the following is an antiderivative of $\frac{1}{x^2}$?

Which of the following is the $5^{th}$-degree Maclaurin polynomial for the function $f\left(x\right)=e^{-x}$?

Let $h\left(x\right)$ be an antiderivative of the function $f\left(x\right)=x^3+\frac{-\sin x}{x^2}+2$. Which of the following is a correct expression for $h\left(x\right)$?

Find a particular solution to the differential equation $\frac{dy}{dx}=2x$, given that $y\left(1\right)=5$.