Answers>Maths>A Level>Article

A curve C is mapped by the equation ( 1+x)(4-x). The curve intersects the x-axis at x = –1 and x = 4. A region R is bounded by C and the x-axis. Use calculus to find the exact area of R.

First draw the curve. Figure out and write the integration problem. Integral⁴_-1 (1+x)(4-x) dx.Expand integral⁴_-1 4 + 3x - x² dx.= ⁴_-1[4x + 3x²/2) -x²] = 16 + 30 - 64/3 - (-4 + 3/2 + 1/3)= 125/6

Answered by Vishesh D. • Maths tutor

4317 Views

See similar Maths A Level tutors

A curve C is mapped by the equation ( 1+x)(4-x). The curve intersects the x-axis at x = –1 and x = 4. A region R is bounded by C and the x-axis. Use calculus to find the exact area of R.

Related Maths A Level answers

There is a Ferris wheel where the passengers are placed 10m away from the centre. At what speed must they be moving in order for them to feel completely weightless at the top of the wheel.

How do you find the equation of a tangent to a curve at a certain point, from the equation of the curve?

Differentiate: y = xsin(x)

Determine the stationary points of y=(5x^2)/(lnx)