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Mathematics Test - 6
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  • Question 1/10
    5 / -1

    Find the value of b if \(\rm \int \frac{dx}{\sqrt {9-x^{2}}}=sin^{-1}\frac{x}{b}+C\)
  • Question 2/10
    5 / -1

    Find the antiderivative of f(x) = 12x3 – 15x2 + 64

  • Question 3/10
    5 / -1

    \(\rm \int \sqrt {x^2+2x+5}\ dx\) is equal to:
  • Question 4/10
    5 / -1

    Evaluate: \(\smallint \frac{{dx}}{{{e^x} - 1}}\)
  • Question 5/10
    5 / -1

    Find the \(\smallint \frac{2}{{{\rm{sin}}2{\rm{x}}.{\rm{log}}\left( {{\rm{tanx}}} \right)}}\)
  • Question 6/10
    5 / -1

    Evaluate \(\smallint {e^x}\left( {\frac{1}{x} - \frac{1}{{{x^2}}}} \right)dx\)

  • Question 7/10
    5 / -1

    If \(\rm \int \sqrt{1 - sin 2x} \space dx\) = A sinx + B cosx + C, where 0 < x < \(\frac{\pi}{4}\), then which one of the following is correct?
  • Question 8/10
    5 / -1

    If \(I_1 = \displaystyle\int_e^{e^2} \dfrac{dx}{\log x}\)and \(I_2 = \displaystyle\int_1^2 \dfrac{e^x}{x} dx\) then
  • Question 9/10
    5 / -1

    If \(\rm \displaystyle\int \dfrac{1}{\sqrt{9-16x^2}}dx=\alpha \sin^{-1} (\beta x)+c\) then \(\rm \alpha + \dfrac{1}{\beta}=\)
  • Question 10/10
    5 / -1

    Integral of sec2 x with respect to sec x is
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