7. Antiderivatives & Indefinite Integrals

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

Which of the following is an antiderivative of $2x$?

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 $\frac{1}{x^2}$?

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

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

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

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

29–62. Integrals Evaluate the following integrals. Include absolute values only when needed.

∫ e^{2x} / (4 + e^{2x}) dx