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  • Question 1
    4 / -1

    The area bounded by the curve y = x | x |, x-axis and the ordinates x = 1, x = -1 is given by

  • Question 2
    4 / -1

    Let f : R be a differentiable function and f(1) = 4. Find the value of

    \(\lim _{x \rightarrow 1} \int_{4}^{f(x)} \frac{2 t}{x-1} d t,\) if \(f^{\prime}(1)=2\)

  • Question 3
    4 / -1

    Out of 40 consecutive integers, two are chosen at random. The probability that their sum is odd is

  • Question 4
    4 / -1

    What does y = x2 represent in a 3-dimensional coordinate system?

  • Question 5
    4 / -1

    If

    y=\(\left(1+x+\frac{x^{2}}{2 !}+\frac{x^{3}}{3 !}+\ldots \ldots \infty\right)\) thendydx

  • Question 6
    4 / -1

    The probability that a man will live 10 more years is 1/4 and the probability that his wife will live 10 more years is 1/3. The probability that neither of them will be alive in 10 years is

  • Question 7
    4 / -1

    \(\int_{0}^{\pi} \sqrt{1+\sin x} d x\) is equal to

  • Question 8
    4 / -1

    If f(x) = | x |3, then f′(0) =

  • Question 9
    4 / -1

    The value of sin 10° + sin 20° + sin 30° + ........+ sin 360° is

  • Question 10
    4 / -1

    The area bounded by curve xy = c and x-axis between x = 1 and x = 4, is

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