Flashcards in Integration Deck (9):
How is the integral of a function f(x) written with respect to x?
You draw a tall 's' shape and afterwards, 'f(x)' and then 'dx'.
How do you integrate a function?
For every term, ax^n (except ax^-1):
(ax^(n + 1)) / (n + 1)
Don't forget to add c (a constant) at the end!!!!
What do you do if there are lots of terms in a function?
integrate them separately.
What do you get if you integrate the equation for the gradient of a curve?
The equation of the curve.
What do you need to find the whole equation of a curve and why?
A point on the curve in order to find c.
What is a definite integral?
Definite integrals have limits next to the integral sine. They tell you the range of x-values to integrate between.
How do you find a definite integral?
Integrate the function as normal, but don't add a constant of integration. Work out the value of the definite integral by putting in the limits and subtracting the lower limit from the higher one.
What is the value of a definite integral?
The area between the x-axis and the graph of the function you're integrating between the two limits.