calc
posted by DD .
Each of the regions A, B, and C bounded by f(x) and the xaxis has area 5. Find the value of
∫2 [f(x)+3x^2+2]dx.
−4
I know to solve I can find the antiderivative of the equation but im not sure how to do this because of the f(x) in the parentheses.

calc 
Steve
no idea what the regions are. But if f(x) = F'(x), then the areas are
x^3+2x+F(x)[2,4]
= (64+8+F(4))(8+4+F(2))
Presumably you have some way of finding F(x)
Respond to this Question
Similar Questions

Calculus
Evaluate the triple integral ∫∫∫_E (x^2.e^y)dV where E is bounded by the parabolic cylinder z=1−y^2 and the planes z=0, x=1 and x=−1. 
Calc  finding area bounded by curve
Find the area bounded by x=cubed root of y, y=2, y= 1, and yaxis. 
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
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 problem
There are four parts to this one question, and would really appreciate if you could show and explain how you get to the answer, because I tried looking up how to find the answer myself, but nothing made sense. Thank you! 11. The region … 
Calculus
The region R is bounded by the xaxis, x = 1, x = 3, and y = 1/x^3 A) Find the area of R B) B. Find the value of h, such that the vertical line x = h divides the region R into two Regions of equal area. 
Math/Calculus
Solve the differential equation y'=3t^2+4. Solve the initial value problem y(0)=3. Separation of variables! My work: dy/dt= 3t^2+4 dy= 3t^2+4 dt Then you integrate both sides. ∫ dy= ∫ 3t^2+4dt Question: is there a 1 in … 
calc
Find the number a such that the line x = a divides the region bounded by the curves x = y^2 − 1 and the yaxis into 2 regions with equal area. Give your answer correct to 3 decimal places. 
CalculusSteve
Find the area of the region between the graphs of f(x)=3x+8 and g(x)=x^2 + 2x+2 over [0,2]. I got 34/3. Calculus  Steve ∫[0,2] (x^2+2x+2) dx = 1/3 x^3 + x^2 + 2x [0,2] = 8/3 + 4 + 4 = 32/3 Why are you taking the antiderivative … 
Calculus
Find the number a such that the line x = a divides the region bounded by the curves x = y^2 − 1 and the yaxis into 2 regions with equal area. Give your answer correct to 3 decimal places.