Quick questions on Area under a curve: N(A)-Level Additional Mathematics

6short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

What is area as a definite integral?

Show answer

For a curve that lies above the

x

-axis between

x = a

and

x = b

, the area enclosed by the curve, the axis and the two vertical lines is:

What is no sketch?

Show answer

Without a sketch you cannot see where the curve is below the axis or where it crosses; a quick sketch prevents most errors.

What are wrong limits?

Show answer

When the region is bounded by where the curve meets the axis, find those points by solving

y = 0

What is q1?

Show answer

Write the integral for the area under

y = x^2

between

x = 1

and

x = 4

. [1 mark]

What is q2?

Show answer

Find the area under

y = 2x

from

x = 0

x = 3

. [2 marks]

What is q3?

Show answer

The integral of a curve over a region gives

-5

. State the area of the region. [1 mark]

Have a question we have not covered?

This dot-point answer is short enough that we have not extracted many short questions yet. Read the full dot-point answer or ask Mo, our study assistant, in the chat for follow ups.

All Additional MathematicsQ&A pages