What is ∫sin3xcosxdx = ? from Mathematics Int

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 Multiple Choice QuestionsMultiple Choice Questions

11.

What is 01x1 - x9dx = ?

  • 1110

  • 1132

  • 1148

  • 1240


12.

What is 28x - 5dx = ?

  • 2

  • 3

  • 4

  • 9


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13.

What is sin3xcosxdx = ?

  • cos4x + c

  • sin4x + c

  • 1 - sin2x24 + c

  • 1 - cos2x24 + c


D.

1 - cos2x24 + c

Let t = sinx    dt = cosxdxThen, sin3x . cosx . dx = t3dt= t44 + c= sin4xx + c= 1 - cos2x24 + c


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14.

What is elntanx = ?

  • lntanx + c

  • lnsecx

  • tanx + c

  • etanx + c


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15.

What is  - 11ddxtan-11xdx = ?

  • 0

  • - π4

  •  - π2

  • π2


16.

What is dxa2sin2x + b2cos2x = ?

  • c + 1abtan-1atanxb

  • c - 1abtan-1btanxa

  • c + 1abtan-1btanxa

  • None of the above


17.

What is dxxx7 = 1 = ?

  • 12lnx7 - 1x7 +1 + c

  • 17lnx2 +1x7 + c

  • lnx2 - 17x + c

  • 17lnx7x7 + 1 + c


18.

What is xe - 1 + ex - 1xe + exdx =?

  • x22 + c

  • lnx + e +c

  • lnxe + ex + c

  • 1elnxe + ex + c


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19.

If xdy = y(dx + ydy); y(1) = 1 and y(x) > 0, then what is y( - 3) equal to ?

  • 3

  • 2

  • 1

  • 0


20.

If f(x) and g(x) are continuous functions satisfying f(x) = f(a - x) and g(a) + g(a - x) = 2, then what is

0af(x)g(x)dx equal to ?

  • 0agxdx

  • 0afxdx

  • 2 0afxdx

  • 0


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