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If overset(b)underset(a)int {f(x)-3x}dx=...

If `overset(b)underset(a)int {f(x)-3x}dx=a^(2)-b^(2)`, then the value of `f((pi)/(6))`, is

A

`(pi)/6`

B

`(2pi)/3`

C

`(pi)/3`

D

`(pi)/2`

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The correct Answer is:
A
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TARGET PUBLICATION-DEFINITE INTEGRALS-COMPETITIVE THINKING
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  7. Suppose that F (x) is an antiderivative of f (x)=sinx/x,x>0 , then...

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  8. The value of integral int (1//pi)^(2//pi)(sin(1/x))/(x^(2))dx=

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  10. If I(n) = int (0)^(pi//4) tan^(n) theta " " d theta, "then "I(8)+I(6)=

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  11. If g(1)=g(2), then int(1)^(2)[f{g(x)}]^(-1)f'{g(x)}g'(x)dx is equal to

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  12. If int(0)^(k)(dx)/(2+18x^(2))=(pi)/(24), then the value of k is

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  18. int0^1sqrt((1-x)/(1+x))dx

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  20. Evaluate the following : int(0)^(pi//2)(1)/(a^(2)sin^(2)x+b^(2)cos^...

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