Definite IntegrationHard
Question
If 
, then the value of u10 + 90 u8 is :
, then the value of u10 + 90 u8 is : Options
A.9(π/2)8
B.(π/2)9
C.10(π/2)9
D.9(π/2)9
Solution
u10 = 
x10. sin x dx = (x10 . cos x)0x/2 - 
10 . x9(-cos x)dx = 10 
x9 cos x dx
= (10 . x9 sin x)0x/2 - 10
9.x8 sin x + 2
u10 = 10 . (π/2)9 + 90 . u8
x10. sin x dx = (x10 . cos x)0x/2 - 10 . x9(-cos x)dx = 10 x9 cos x dx= (10 . x9 sin x)0x/2 - 10
9.x8 sin x + 2u10 = 10 . (π/2)9 + 90 . u8
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