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I think it’s best I work through an example with you as these problems can vary quite a lot, but the general methods used are the same.Example: Use the substitution u=x2+5 to find: The in...
y = 5x2 - 4/x3
1/x can be written as x-1, which means our equation can also be written as y = 5x2 - 4x-3.
dy/dx means ...
x2 - 9x ≤ 36
1. Draw a graph.
y = x2 - 9x and y = 36
2. Find the points of intersection by solv...
A definite integral is actually a numerical value, which the represents the area under a graph between two points. For example, if you integrated f(x) between two values (lets call them a and b), the answ...
First combine the two functions so that we have an equation for a to solve:
G(h(a)) = (3^x)^3 + 1 = 3^(3x) + 1 = 244
which gives
3^(3x) = 243
Now...
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