First use a substitution to get it in a form like
Then it is,
Now apply the substitution and it's easy from here.
1) Use the Substitution Formula to evaluate the integral.
I'm doing my best looking at my lecture notes and examples from the book to guide me into the procedure of substituting, but its not helping me. Could someone show me some light on how to get this started?
2) Find the area of the regions enclosed by the lines and curves given below.
y = x2 - 4x and y = 6x
so I graphed the two functions, the limits of integration for the left hand most region is a = 0 and b = 4 . to solve for the right hand limit, I set the equations equal to each other, and got b=10.
For
For
Add the Area of both regions:
Total Area =
Integrate
Solve:
Where did I screw up? It seems right to me...
Think again. Here's the graph:y = x2 - 4x and y = 6x
so I graphed the two functions, the limits of integration for the left hand most region is a = 0 and b = 4 . to solve for the right hand limit, I set the equations equal to each other, and got b=10.
For <-- Why 0?
For