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Perplex
IB Math AAHL
/
Integration
/
Problem Bank
IB Math AAHL
/
Integration
/
Problem Bank

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[Maximum mark: 6]

The following diagram shows part of the curve ​ycosy2=x2​ for ​0≤y≤a.

The region ​R​ is enclosed between the curve and the ​y​-axis.

  1. Find the value of ​a.

    [2]
    a=
  2. Find the volume of the solid produced when ​R​ is revolved ​2π​ about the ​y​-axis.

    [4]
[Maximum mark: 6]

The following diagram shows part of the curve ​ycosy2=x2​ for ​0≤y≤a.

The region ​R​ is enclosed between the curve and the ​y​-axis.

  1. Find the value of ​a.

    [2]
    a=
  2. Find the volume of the solid produced when ​R​ is revolved ​2π​ about the ​y​-axis.

    [4]