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If u(n) = int(0)^(pi//2) x^(n)sinxdx, t...

If `u_(n) = int_(0)^(pi//2) x^(n)sinxdx`, then the value of `u_(10) + 90 u_(8)` is :

A

`9(pi/2)^(8)`

B

`(pi/2)^(9)`

C

`10 (pi/2)^(9)`

D

`9 (pi/2)^(9)`

Text Solution

Verified by Experts

The correct Answer is:
C
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RESONANCE-DEFINITE INTEGRATION & ITS APPLICATION -Exercise 2 Part - 1
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  6. If u(n) = int(0)^(pi//2) x^(n)sinxdx, then the value of u(10) + 90 u(...

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  10. Area bounded by the region consisting of points (x,y) satisfying y le ...

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  11. Find the area enclosed between the curves: y = loge (x + e) , x = loge...

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  12. The area bounded by the curve x = a cos^3t,, y = a sin^3t, is :

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  13. The area bounded by the curve f(x)=x+sinx and its inverse function bet...

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  14. P(2,2), Q(-2,2) R(-2,-2) & S(2,-2) are vertices of a square. A para...

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  15. The ratio in which the curve y = x^(2) divides the region bounded by ...

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  16. If f(x)=sinx ,AAx in [0,pi/2],f(x)+f(pi-x)=2,AAx in (pi/2,pi)a n df(x)...

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  18. Obtain the area enclosed by region bounded by the curves y = x ln x an...

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  19. The area of the region on place bounded by max (|x|,|y|) le 1/2 is

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