Calculus 2 Integrals Homework Solutions

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The discussion focuses on two calculus problems, specifically problems 1 and 4(a). For problem 1, the user attempted to calculate areas under the curve using Riemann sums to find an x value that approximates f(x) = -0.75, but further clarification is needed on the question. In problem 4(a), the user mistakenly set the interval from x to 2 instead of correctly interpreting the requirement for f(2) = 3, leading to a zero result. The conversation emphasizes the importance of accurately understanding the problem statements and the correct application of calculus principles. Further explanations are necessary for both problems to provide effective solutions.
Kingnabeel
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Homework Statement


Here are the problems
http://imgur.com/a/kbtPS
The problems I need help with are 1 and
4(a)

Homework Equations


The second fundamental theorem of calculus

The Attempt at a Solution


For problem 1, I calculated the areas under the curve (using remmien summs) and tried to find the x value that would approximate f(x)=-.75

For problem 4(a), all i did was that since it was an integral, taking the derivative would just be the integrals and that's how I got that answer.[/B]
 
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I mean integrand
 
For 4(a), the problem with yours is that they are asking for f(2)=3, that is, when x=2 f(x)=3. What you've done is set your interval from x to 2. That means the interval for f(2) is from 2 to 2. Which will always be 0.

I can't tell what is going on for 1. You'll need to explain the question better.
 
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