Integral by interpreting in terms of area

[CalcEqualsUgh]

Evaluate the integral by interpreting it in terms of areas.

13 on top of integral sign
0 on bottom of integral sign (1/4x -3) dx

 

[stapel]

Evaluate the integral by interpreting it in terms of areas.

13 on top of integral sign
0 on bottom of integral sign (1/4x -3) dx

Is the integrand "1/(4x) - 3", "1/(4x - 3)", "(1/4)x - 3", or something else?

How far have you gotten, after drawing the function and looking at the region between the graph and the x-axis between the vertical lines x = 0 and x = 13?

Please be complete. Thank you!

Eliz.

 

[CalcEqualsUgh]

(1/4)x-3

I'm unsure what it means by interpret in terms of area

 

[stapel]

I'm unsure what it means by interpret in terms of area

Your class and/or textbook should have mentioned (by which I mean, "discussed at length, with many examples") the relationship between integrals and areas under curves. If not, then you'll probably want to review some web lessons to clarify that.

Once you understand what is meant by "looking at an integral in terms of the area it is measuring under the curve", do the graph of your function, marked off by the x-axis below and the vertical "sides" formed by the integration limits. Then find the area using geometry. :wink:

Eliz.