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Nusret Balcı TMUA Paper 1 · Q16

Paper 1CalculusFunctions & graphsAlgebra

The function f(x)f(x) is a polynomial that satisfies the equation

f′(x)+∫0xf(t) dt=x3+kx2+x+2f'(x)+\int_0^x f(t)\,\mathrm{d}t=x^3+kx^2+x+2

for all real values of xx, where kk is a real constant.

What is the value of kk?

A11
B22
C33
D44
ENo such value of kk exists.

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