Integration question

The curve C with equation y=f(x) is such that

\frac{dy}{dx}

3x^2

+ kx, where k is a constant.
1. Find the value of k.

so far, i have integrated to get

x^3

\frac{k}{2}

x squared + c.
What do i need to do to find the value of k after this?

Original post by Chelsea12345

The curve C with equation y=f(x) is such that

\frac{dy}{dx}

3x^2

+ kx, where k is a constant.
1. Find the value of k.

so far, i have integrated to get

x^3

\frac{k}{2}

x squared + c.
What do i need to do to find the value of k after this?

You need at least 2 points through which the curve passes through, or any other addition information.

You need at least 2 points through which the curve passes through, or any other addition information.

C passes through the points(1,6) and (2,1)

Original post by Chelsea12345

C passes through the points(1,6) and (2,1)

Plug those two into y=f(x) and solve the simultaneous equations in

c

and

k

K=-8
C=9

Original post by Mr Moon Man

K=-8
C=9

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