A charged nonconducting rod, with a length of 3.95 m and a cross-sectional area

Question

A charged nonconducting rod, with a length of 3.95 m and a cross-sectional area of 5.49 cm2, lies along the positive side of an x axis with one end at the origin. The volume charge density   is charge per unit volume in coulombs per cubic meter. How many excess electrons are on the rod if is(a) uniform, with a value of -4.80 µC/m3, and (b) nonuniform, with a value given by = bx2, where b = -1.93 µC/m5?

I got the a) part right which is 6.25e10. But I keep getting the b part wrong. Can someone please help me out. Thank you

Explanation / Answer

p = bx^2

dq = Ap*dx

dq = -5.72*10^-4*1.93*10^-6*x^2*dx = -1.1*10^-9*x^2*dx

integration x = 0 to x = 3.95

q = -2.25*10^-8 C

n = 2.25*10^-8/(1.6*10^-19)

n = 1.406*10^11

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