1.9.20 Integrate kx^n

a.

Find $dx\int \left( 9x^2 - \frac{4}{\sqrt{x}} \right) \, dx$

[3]

b.

The gradient of a curve is given by

\frac{dy}{dx} = 9x^2 - \frac{4}{\sqrt{x}}

The curve passes through the point $(9, 2140)$ .

Find the equation of the curve.

[3]

a.

Find $dx\int \left( 9x^2 - \frac{4}{\sqrt{x}} \right) \, dx$

[3]

b.

The gradient of a curve is given by

\frac{dy}{dx} = 9x^2 - \frac{4}{\sqrt{x}}

The curve passes through the point $(9, 2140)$ .

Find the equation of the curve.

[3]

1.9.20 Integrate kx^n Questions