Integration

Given that $k\,$ is a constant

a.

Find $∫(kx3+2x)dx\displaystyle \int \left( \frac{k}{x^3} + 2x \right) dx$ Giving your answer in its simplest form.

[3]

b.

Find the value of $k\,$ such that $∫12(kx3+2x)dx=12\displaystyle \int_1^2 \left( \frac{k}{x^3} + 2x \right) dx = 12$

[3]

Given that $k\,$ is a constant

a.

Find $∫(kx3+2x)dx\displaystyle \int \left( \frac{k}{x^3} + 2x \right) dx$ Giving your answer in its simplest form.

[3]

b.

Find the value of $k\,$ such that $∫12(kx3+2x)dx=12\displaystyle \int_1^2 \left( \frac{k}{x^3} + 2x \right) dx = 12$

[3]

Integration Questions