What is the net area between #f(x) = cosx # and the x-axis over #x in [0, 3pi ]#?
This is expressed as:
By signing up, you agree to our Terms of Service and Privacy Policy
To find the net area between ( f(x) = \cos(x) ) and the x-axis over ( x ) in ( [0, 3\pi] ), we integrate ( f(x) ) over the given interval and take the absolute value of the result. The integral of ( \cos(x) ) over ( [0, 3\pi] ) is ( \int_{0}^{3\pi} \cos(x) , dx ). Then, we take the absolute value of this integral to get the net area.
By signing up, you agree to our Terms of Service and Privacy Policy
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
- How do I evaluate #int_0^oo e^-x/sqrtxdx#?
- How do you integrate #(x^2+2x-1)/(x^3-x)dx#?
- What is the Integral of #tan^2(x)sec^2(x) dx#?
- Let R be the region in the first quadrant bounded by the graphs of #y=x^2#, #y=0#, and #x=2#, how do you find the area of R?
- How do you find the indefinite integral of #int ((6e^(1/x))/x^2)#?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7