Please can someone help me with this:

The Curve with equation y = f (x) passes through the point (8,7)

Given that

f ' (x) = 4x^1/3 - 5

find f(x)

Many thanks,

languages

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- May 11th 2008, 12:44 AMlanguagesMaths C2 Curve help!
Please can someone help me with this:

**The Curve with equation y = f (x) passes through the point (8,7)**

**Given that**

**f ' (x) = 4x^1/3 - 5**

**find f(x)**

Many thanks,

languages - May 11th 2008, 12:51 AMMoo
Hello,

Find the primitive of f'(x) :

An antiderivative of $\displaystyle x^n$ is $\displaystyle \frac{x^{n+1}}{n+1}$. Here, n=1/3

An antiderivative of a is ax. Here, a=-5.

The primitive will be the sum of these antiderivatives, to which you add a constant c.

The fact that the curve passes through the point (8,7) will help you find c.