Calculus Concepts and Applications

To find the integral of a function

To find the derivative of a function

To solve algebraic equations

To calculate the area under a curve

Integration is the same as differentiation

Integration is the inverse of differentiation

Integration is unrelated to differentiation

Integration is a type of differentiation

You get the original function back

You get a constant value

You get a new function

You get the square of the function

x

2x

1

x^3

A hyperbola

A circle

A parabola

A straight line

A new function

The derivative of the original function

The original function

A constant

The height of the triangle

The area of the triangle

The x-coordinate

The y-coordinate

Base minus height

Base times height

Base times height divided by 2

Base plus height

1

x^2

2x

x

You get the derivative

You get the area under the curve

You get a constant

You get the integral