brief calc
posted by joe
Calculate the total area of the region described. Do not count area beneath the xaxis as negative.Bounded by the line y = 6x, the xaxis, and the lines x = 4 and x = 5

Steve
a = âˆ«[4,5] 6x dx = 27
or, since the area is just a trapezoid of height 1,
a = (24+30)/2 = 27
Respond to this Question
Similar Questions

Calc.
Find the area of the region bounded by the parabola y=x^2, the tangent line to this parabola at (1,1) and the xaxis. I don't really get what this question is asking. It looks like the area of right triangle to me...try the graph, … 
MATH
Find the volumes of the solids generated by revolving the region in the first quadrant bounded by the following about the given axes. x = y  y3, x = 1, y = 1 (b) Revolved about the yaxis ? 
Calculus 1
Let f be the function given by f(x)=3sqrt(x2). A) On the axes provided sketch graph of f and shade the region R enclosed by the graph f, the xaxis, and the vertical line x=8 (already completed just mentioned it for part B.) B) Find … 
calc
1. Let R be the region bounded by the xaxis, the graph of y=sqr(x) , and the line x=4 . a. Find the area of the region R. b. Find the value of h such that the vertical line x = h divides the region R into two regions of equal area. … 
Calculus
This is another textbook number that doesn't have the solution and I can't figure it out. Any tips would be greatly appreciated. For each of the plane surfaces, calculate the exact surface area. (Answer in fractions) (a)The surface … 
Calculus
1. Find the area of the region bounded by the curves and lines y=e^x sin e^x, x=0, y=0, and the curve's first positive intersection with the xaxis. 2. The area under the curve of y=1/x from x=a to x=5 is approximately 0.916 where … 
calculus
Find the volume of the solid generated by revolving the region about the given line. The region in the second quadrant bounded above by the curve y = 16  x2, below by the xaxis, and on the right by the yaxis, about the line x = … 
brief calc
Calculate the total area of the region described. Do not count area beneath the xaxis as negative. Bounded by the curve y = square root of x the xaxis, and the lines x = 0 and x = 16 This is under Integrals, i don't know what i'm … 
math
Determine the area of the region bounded by the given function, the xaxis, and the given vertical lines. The region lies above the xaxis. f(x)=4x√ , x=1 and x=4 
calc
1) Volume created when the area bounded by the xaxis, the yaxis, and the line y = 3x+5 is rotated about: a) the yaxis b) the line y = 6 2) Volume created when the area bounded by x = 3yy^2 and the yaxis is rotated about the xaxis