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The integral overset(pi//2)underset(pi//...

The integral `overset(pi//2)underset(pi//4)int (2 cosecx)^(17)dx` is equal to

A

`int_(0)^(log(1+sqrt2))2(e^(u)+e^(-u))^(16) du`

B

`int_(0)^(log(1+sqrt2))(e^(u)+e^(-u))^(17) du`

C

`int_(0)^(log(1+sqrt2))(e^(u)+e^(-u))^(17) du`

D

`int_(0)^(log(1+sqrt2))2(e^(u)+e^(-u))^(16) du`

Text Solution

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ARIHANT MATHS-DEFINITE INTEGRAL-Exercise (Questions Asked In Previous 13 Years Exam)
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  2. If alpha=int0^1(e^9x+3tan^((-1)x))((12+9x^2)/(1+x^2))dxw h e r etan^(-...

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  4. Let f:[0,2]vecR be a function which is continuous on [0,2] and is diff...

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  8. The value of the integral int(-pi//2)^(pi//2) (x^(2) + log" (pi-x)/(pi...

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  9. The value of int(sqrt(ln2))^(sqrt(ln3)) (xsinx^2)/(sinx^2+sin(ln6-x^2)...

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  10. Let f:[1,oo] be a differentiable function such that f(1)=2. If int1...

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  11. The value of int(0)^(1) (x^(4)(1-x)^(4))/(1+x^(2)) dx is (are)

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  12. For a in R ( the set of all real number) , a ne -1, lim(n to oo)((1^...

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  13. Consider the statements : P : There exists some x IR such that f(x)...

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  14. Which of the following is true?

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  15. For any real number x ,l e t[x] denote the largest integer less than o...

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  16. Let f be a non-negative function defined on the interval .[0,1].If int...

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  17. If In=int(-pi)^(pi) \ (sinnx)/((1+pi^x) \ sinx) \ dx, n=0,1,2,...... t...

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  18. Let Sn=sum(k=0)^n n/(n^2+k n+k^2) and Tn=sum(k=0)^(n-1)n/(n^2+k n+k...

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  19. The Integral int(pi/4)^((3pi)/4)(dx)/(1+cosx) is equal to: ...

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  20. Let In=int tan^n x dx, (n>1). If I4+I6=a tan^5 x + bx^5 + C, Where C...

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