Describe the set of antiderivatives of ƒ(x) = 1

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 $y\left(1\right)=5$.

Which of the following is an antiderivative of $2e^x$ with respect to $x$?

Which of the following is an antiderivative of $5^x$ with respect to $x$?

Give the antiderivatives of xᵖ . For what values of p does your answer apply?

Give the antiderivatives of 1/x.

Finding antiderivatives. Find all the antiderivatives of the following functions. Check your work by taking derivatives.

ƒ(x) = 2 sinx + 1

Finding antiderivatives. Find all the antiderivatives of the following functions. Check your work by taking derivatives.

p(x) = 3 sec² x