cameroon gce A level June 2009 further mathematics 2

cameroon gce A level June 2009 further mathematics 2

cameroon gce A level June 2009 further mathematics 2

Find the general solution to the differential equation
π‘₯
𝑑𝑦/𝑑π‘₯ – 𝑦 = π‘₯
2
.
2.a. Express into partial fractions
𝑓(π‘₯) =(π‘₯2 + 1)(π‘₯ – 1)2

b. Hence, evaluate
∫23 𝑓(π‘₯) 𝑑π‘₯.
c. Given that
𝐼𝑛= ∫ sin𝑛 πœƒπœ‹20π‘‘πœƒ,
show that for 𝑛 β‰₯ 2, 𝐼𝑛 = (𝑛𝑛-1) 𝐼𝑛-2. Hence, evaluate 𝐼5.
3.
a. Using the definition of
sinh π‘₯ in terms 𝑒π‘₯, show that sin-1 π‘₯ = ln(π‘₯ + √1 + π‘₯2).
Hence or otherwise, show that
∫ √9π‘₯12 + 4

PDF is loading please wait...


Leave a comment

Your email address will not be published. Required fields are marked *

Download our application
kawlo
sponsors Ads