This video shows you how to find the antiderivative of a function. By definition, the F(x) is an antiderivative of f(x) means F'(x) = f(x). The small f is a derivative of the capital F, and the capital F is an antiderivative of the small f. One method of solving is to guess and check: to make a guess and check to see if it is true in the equation. For example, F(x) = 10x + 4. To guess that F(x) = 5x2 + 4x and check would result in the following: F'x = 10x + 4. With any constant you want to add, the derivative will always be zero. So, you can add anyone you want. So, this is true for F(x) = 5x2 + 4x – 60. So, for any equation: F(x) = 5x2 +4x + c. Once you have found one, add a plus c to it. This will give you all the antiderivatives that exist for the equation.
 Hot
 Latest

How To: Remember "greater than" & "less than" symbols

How To: Use ">" (greater than) and "<" (less than) symbols

How To: Calculate Faster Than a Calculator

How To: Find the Percent Given Two Numbers

How To: Learn Calculus in 20 minutes

How To: Convert Fahrenheit to Celsius with a formula

How To: Normalize a data set into another scale

How To: Evaluate combinations of functions from graphs

How To: Find a number given Its percent

How To: Do long division without a calculator

How To: Find the area & perimeter of triangles & squares

How To: Find the Radius of a Circle from Arc Length

How To: Solve percentages without a calculator

How To: Find the slope of a line given 2 points with fractions

How To: Find a missing coordinate given: coordinate & equation

How To: Solve problems involving rational equations in algebra

How To: Find a missing side of a triangle, similar to another

How To: Translate a sentence into math symbols

How To: Figure out the domain & range of a piecewise function

How To: Find Leg Lengths and Hypotenuse of a 45 45 90 Triangle

How To: Remember "greater than" & "less than" symbols

How To: Use ">" (greater than) and "<" (less than) symbols

How To: Calculate Faster Than a Calculator

How To: Find the Percent Given Two Numbers

How To: Learn Calculus in 20 minutes

How To: Convert Fahrenheit to Celsius with a formula

How To: Normalize a data set into another scale

How To: Evaluate combinations of functions from graphs

How To: Find a number given Its percent

How To: Do long division without a calculator

How To: Find the area & perimeter of triangles & squares

How To: Find the Radius of a Circle from Arc Length

How To: Solve percentages without a calculator

How To: Find the slope of a line given 2 points with fractions

How To: Find a missing coordinate given: coordinate & equation

How To: Solve problems involving rational equations in algebra

How To: Find a missing side of a triangle, similar to another

How To: Translate a sentence into math symbols

How To: Figure out the domain & range of a piecewise function

How To: Find Leg Lengths and Hypotenuse of a 45 45 90 Triangle
Be the First to Comment
Share Your Thoughts