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Given that f satisfies |f(u)-f(v)|lt=|u-...

Given that `f` satisfies `|f(u)-f(v)|lt=|u-v| for u and v` in `[a , b]dot` Then `|int_a^bf(x)dx-(b-a)f(a)|lt=` (a) `((b-a))/2` (b) `((b-a)^2)/2` `(b-a)^2` (d) none of these

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  3. Given that f satisfies |f(u)-f(v)|lt=|u-v| for u and v in [a , b]dot T...

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  4. IfIn=int0^1x^n(tan^(-1)x)dx ,t h e np rov et h a t (n+1)In+(n-1)I(n-2...

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  5. IfI=int(-20pi)^(20pi)|sinx|[sinx]dx(w h e r e[dot] denotes the greate...

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  6. If Im=int1^x(logx)^mdx satisfies the relation (Im)=k-l I(m-1) then

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  10. If IK=int1^e(lnx)^kdx(k in I^+)dx(k in I^+), then find the value of...

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  11. If int0^x {int0^u f(t) dt}du is equal to (a) int0^x (x-u) f(u) (b) ...

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  12. Prove that: In=int0^oox^(2n+1) e^ (-x^2) dx=(n !)/2,n in N.

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  14. It is known that f(x) is an odd function in the interval [-p/2, p/2] ...

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  16. If int0^(pi/2)logsinthetad(theta)=k , then find the value of int0^(pi...

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  17. Evaluate: int0^(pi/2)|sinx-cosx|dx

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  18. Let f(x) is continuous and positive for x in [a , b],g(x) is continu...

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