So what you're saying is that if it doesn't ask for me to compute the area for a definite integral, that I should just calculate it straight away and disregard if it is negative?
How am I wrong? The function is negative from pi/2 to 2 and the area below the x-axis has to be calculated separately as an absolute value and added to the area above the x-axis. Of course an integral calculator will get the question wrong, they can't handle area below the x-axis.
Homework Statement
The letter W is defined as . The value of W, correct to the nearest hundredth, is?
Homework Equations
The Attempt at a Solution
Now, I had this question on a test and got it wrong. I get 0.93, which I think is correct. Apparently the answer is 0.24. I call BS...
I don't understand how you can multiply du/dx by dx and then cancel the dx from the numerator and denominator, though. I thought du/dx was a symbol of notation?
How can you multiply and divide to get dx=du/6x if du/dx is a symbol of notation and has nothing to do with division? I just want to understand where the dx = du/6x comes from, and how it is supposed to be read. Is it read "with respect to x = the derivative of u divided by 6x?
Homework Statement
Homework Equations
The Attempt at a Solution
I just started integration. This is the first example from the lesson. I get to the part where they take the derivative of u with respect to x. But the next step, where it says dx=du/6x, I'm totally lost. I don't understand how...