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1 Unit 1: Pure Mathematics A

It is given that $k\,$ is a constant.

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

[3]

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

[3]

1 Unit 1: Pure Mathematics A Questions

It is given that $k\,$ is a constant.

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

[3]

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

[3]