math
posted by bob .
Find a function f which satisfies the integral equation
Int(bounded from 0 to x) t*f(t)dt = Int(bounded from x to 0)(t^2+1)*f(t)dt +x

math 
Mgraph
Differentiating the equation:
x*f(x)=(x^2+1)*f(x)+1
f(x)=1/(x^2+x+1)
Respond to this Question
Similar Questions

Calc Jacobian
Thanks "I know that the xy region is the line x=y y=0 and y=1 x/2)" It is helpful to rewrite the region in the xy plane by specifying the three lines and the endpoints, i.e. the points where they intersect. If you insert these points … 
Calc
Problems, once again. 1. Compute the average value of: f(x} = x/(x+3) over the interval [a,a] 2. Find the area of the region bounded by the graph of: y = 2√(x^2 + 1) X axis Y axis Line x = 1 On the first, integrate, then divide … 
Calc
f(x,y,z) = y; W is the region bounded by the plane x+y+z=2;cylinder x^2+z^2=1. and y=0. What I have set up isL 4 int(0 to 1) int(0 to sqrt(1x^2)) int(0 to 1xy) y dydzdx. But solving this is pretty cumbersome. Any other ideas? 
Calc,
Find the value of the definite integral: int= integral sign int((x + 2)/(x^(3/2)),x= 16..25)dx I have no idea how to start this... would I get rid of the fraction? 
Calc.
Find the value of the definite integral using sums, not antiderivatives: int= integral sign int((x + 2)/(x^(3/2)),x= 16..25)dx Please help. 
math
Find a function f which satisfies the integral equation Int(bounded from 0 to x) t*f(t)dt = Int(bounded from x to 0)(t^2+1)*f(t)dt +x 
calculus
1. Find the area of the region bounded by f(x)=x^2 +6x+9 and g(x)=5(x+3). Show the integral used, the limits of integration and how to evaluate the integral. 2. Find the area of the region bounded by x=y^2+6, x=0 , y=6, and y=7. Show … 
check my precalc
#1. (3x^34x^23x+4)/(x^35x) my answers: yint: NONE xint: 1, 1, and 4/3 x asymtope: x= 0 and + square root of 5 y asym: y=3 If it crosses horiz asym: idk i need help on this #2. (x^47x^2+12)/(x^25x+4) xint: 2, 2, and + square … 
Calculus
Let N = \int \int \int_B xyz^2\ dV , where B is the cuboid bounded by the regions 0 \leq x \leq 1, 1 \leq y \leq 2 and 0 \leq z \leq 3. If N = \frac{a}{b}, where a and b are coprime positive integers. What is the value of a+b? 
calculus
use symmetry to evaluate the double integral (1+x^2siny+y^2sinx)dA, R=[pi,pi]x[pi,pi]. let g(x) and h(y) be two functions: int(c to d)int(a to b)(g(x,y)+h(x,y))dxdy=int(c to d)int(a to b)g(x,y)dxdy+int(c to d)int(a to b)h(x,y)dxdy