How do you intergrate in calculus?

Answer 1

1: Intergration is the opposite of differentiation

2: To intergrate, the power must go up one.

3: divide by the new power.

Eg. 2X2 goes to 2X3/3

4: Add a + C to the end. This is because when you differentiate 3, it turns into 0. Therefore we don't know that it existed when we intergrate (go backwards). So we add C so compensate and find C later.

5: Too find C we must substitute: Find a point on the graph or use any point on the graph that you have been given. Make sure the points are whole numbers, decimals are ugly (especially in calculus).

6: Sub Y (The second number of the point) in for F(X) if you are using Newtons way. or just put Y in for Y if you're using Liebniz's way. (Both the exact same thing).

7: Sub X (The first number of the point) in for the Pro Numeral.

8: Solve for C.

9: Write out as a whole, should look something like this:

3X3 + X2/6 + 5X + 250

You could also use use a computer or Gradshteyn and Ryzhik's Table of Integrals, Series, and Products.