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11.1 Integrating Standard Functions

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Question 52

The rate of change of the volume of liquid, $V\,$ in $cm3\text{cm}^3$ , in a hydraulic cylinder is modeled by the derivative $dVdt=10t4−23t5+34\displaystyle \frac{dV}{dt} = 10t^4 - \frac{2}{3t^5} + \frac{3}{4}$ for $t > 0$ , where $t\,$ is the time in seconds. Find the general expression for $V\,$ by evaluating:

\int \left( 10t^4 - \frac{2}{3t^5} + \frac{3}{4} \right) dt

giving each term in its simplest form.

[4]

Markscheme

11.1 Integrating Standard Functions Questions

A Level
Maths
11.1 Integrating Standard Functions

80 exam-style questions on Edexcel A Level Maths 11.1 Integrating Standard Functions. Each one has a worked solution and a mark scheme showing where the marks go.

11.1 Integrating Standard Functions

Question bank

11.1 Integrating Standard Functions

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Question 52

\int \left( 10t^4 - \frac{2}{3t^5} + \frac{3}{4} \right) dt

giving each term in its simplest form.

[4]

Markscheme

11.1 Integrating Standard Functions Questions

A Level
Maths
11.1 Integrating Standard Functions

80 exam-style questions on Edexcel A Level Maths 11.1 Integrating Standard Functions. Each one has a worked solution and a mark scheme showing where the marks go.