Basic Integration Quiz

Integrals without a boundary are called __________. In the past, we've been working with definite integrals where the boundaries are given for the area under a curve. Now we will work with indefinite integrals, which means we are finding an antiderivative as a general solution.

Find the derivative of each function: f(x) = x^2 + 1

Find the derivative of each function: f(x) = x^2 - 5

Find the derivative of each function: f(x) = x^2 + 1000

What is the antiderivative of 2x? (Provide the general solution)

Exponential: The integral of e^x dx is equal to __________.

Exponential: The integral of a^x dx is equal to __________.

Find the general solution of the integral of 7^x dx.

If f'(x) = e^x - 2x^2, find the particular solution of f(x) if f(0) = 4.

Logarithm as the answer: The integral of 1/x dx is equal to __________.