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The value of int(0)^(x)[cost]dt, x epsil...

The value of `int_(0)^(x)[cost]dt, x epsilon[(4n+1)(pi)/2,(4n+3)(pi)/2]` and `n epsilonN` is equal to (where [.] represents greatest integer function.

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The value of int_0^x[cost]dt ,x in [(4n+1)pi/2,(4n+3)pi/2]a n dn in N , is equal to where [.] represents greatest integer function. pi/2(2n-1)-2x pi/2(2n-1)+x pi/2(2n+1)-x (d) pi/2(2n+1)+x

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CENGAGE ENGLISH-INTEGRALS-All Questions
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  6. The value of the definite integral int2^4(x(3-x)(4+x)(6-x)(10-x)+sinx...

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  7. Ifx=intc^(sint)sin^(-1)z dz ,y=intk^(sqrt(t))(sinz^2)/zdz ,t h e n(dy)...

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  8. If f(x)=int0^1(dt)/(1+|x-t|) ,then f^(prime)(1/2) is equal to (a)0 ...

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  9. Let f(x)=int2^x (dt)/sqrt(1+t^4) and g be the inverse of f. Then, the...

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  13. If f^(prime)(x)=f(x)+int0^1f(x)dx ,gi v e nf(0)=1, then the value of ...

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  14. STATEMENT 1: int0^pisqrt(1-sin^2x) dx=0 , STATEMENT 2: int0^picosx dx...

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  15. STATEMENT 1: Let m be any integer. Then the value of Im=int0^pi(sin2m ...

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  17. For a epsilonR (the set of all real numbers) a!=-1, lim(n to oo) ((1^(...

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  18. Let S be the area of the region enclosed by y-e^(-x^(2)),y=0, x=0 and ...

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  19. Let f:(0,oo)vecR be given by f(x)=int(1/x)^x(e^(-(t+1/t))dt)/t , then ...

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  20. Show that int0^pixf(sinx)dx=pi/2int0^pif(sinx)dxdot

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