Integral Calculus Two Marks Questions

11th Standard

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Maths

Time : 00:45:00 Hrs
Total Marks : 30
    15 x 2 = 30
  1. Integrate the following with respect to x.\({1\over x^{10}}\)

  2. Integrate the following with respect to x.\(\sqrt{x}\)

  3. Integrate the following with respect to x.\({cot \ x \over sin \ x}\)

  4. Integrate the following with respect to x:\({1\over x^3}\)

  5. Evaluate the following with respect to x:\(\int{\sqrt{(15-2x)}}dx\)

  6. Evaluate the following with respect to x:\(\int{1\over {(3x-7)^4}}dx\)

  7. Integrate the following with respect to x:\({1\over \sqrt{1-(9x)^2}}\)

  8. Integrate the following with respect to x:\((1-x^3)^2\)

  9. Integrate the following with respect to x :\({5x-2\over 2+2x+x^2}\)

  10. Evaluate \(\int { \frac { cos2x+2{ sin }^{ 2 }xdx }{ cos^{ 2 }x } } \)

  11. Evaluate \(\int { { 2 }^{ x } } \) ex dx

  12. \(\int { \left( \frac { { x }^{ 4 }+1 }{ { x }^{ 2 }+1 } \right) } \)dx

  13. Evaluate \(\int { \frac { \sqrt { 2+logx } }{ x } } \) dx

  14. Evaluate \(\int { { x }^{ 2 } } \) log xdx

  15. Evaluate = \(\int { \frac { cosxdx }{ \left( 1+sinx \right) \left( 2+sinx \right) } } \)dx

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