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Let lim(T rarr infty) (1)/(T) int(0)^(T)...

Let `lim_(T rarr infty) (1)/(T) int_(0)^(T) ( sin x + sin ax)^(2) dx =L`, then

Text Solution

Verified by Experts

The correct Answer is:
`(A) rarr(q),(B) rarr(s),(C) rarr(p),(D) rarr(r)`
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Knowledge Check

  • lim_(x rarr 0) (1)/(x) [int_(y)^(a) e^(sin^(2)t) dt- int_(x+y)^(a) e^(sin^(2)t) dt] is equal to

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    B
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    C
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    D
    None of these

  • lim_(trarr0) int_(0)^(2pi)(|sin(x+t)-sinx|)/(|t|)dx equals

    A
    2
    B
    4
    C
    43469
    D
    1

  • The value of lim_(xrarr0) (int_(0)^(x^2)sec^2t dt)/(x sin x) dx , is

    A
    0
    B
    3
    C
    2
    D
    1

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    lim_(t rarr0)((1)/(t sqrt(1+t))-(1)/(t))

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