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12th Standard English Medium Business Maths Subject Integral Calculus – I Book Back 2 Mark Questions with Solution Part - II

12th Standard

    Reg.No. :
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Business Maths

Time : 00:30:00 Hrs
Total Marks : 10

    Part I

    5 x 2 = 10
  1. Evaluate the following using properties of definite integrals:
    \(\int _{ -\frac { \pi }{ 4 } }^{ \frac { \pi }{ 4 } }{ { x }^{ 3 }{ cos }^{ 3 }xdx } \)

  2. Evaluate the following integrals:
    \(\sqrt { 2{ x }^{ 2 }-3 } \) dx

  3. Evaluate the following
    \(\int _{ 0 }^{ \infty }{ { e }^{ -mx } } { x }^{ 6 }dx\)

  4. Evaluate
    \(\Gamma(\frac{7}{2})\) 

  5. Evaluate
    \(\int _{ 0 }^{ \infty }{ { e }^{ -2x }{ x }^{ 5 }dx } \) 

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