Let [t] denote the greatest integer less than or equal to t. Then

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 Multiple Choice QuestionsMultiple Choice Questions

711.

x+ sinx1 + cosxdx = ?

  • xtanx2 + C

  • xsinx2 + cosx2 +C

  • xtanx2 + secx2+ C

  • xtanx2 + secx2+ C


712.

If In = sinnxcosxdx, then In = ?

  •  - 2n - 1cosn - 1x - In - 2

  • 2n - 1cosn - 1x + In - 2

  •  - 2n + 1sinn - 1x - In - 2

  •  - 2n + 1cosn - 1x - In - 2


 Multiple Choice QuestionsShort Answer Type

713.

The integral 02x - 1 - xdx = ?


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714.

Let [t] denote the greatest integer less than or equal to t. Then the value of 122x - 3xdx is


Ans : 1

 123x - 3x - xdx  123x - xdx=  12x - 3xdx  12xdx -  123xdx x2212 - 3 .  0133xdx= 42 - 12 - 9x22013 32 - 92132 - 02 = 1


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 Multiple Choice QuestionsMultiple Choice Questions

715.

Area enclosed by 0  y  x2 + 1, 0  y  x + 1, 12  x  2 is :

  • 112

  • 16

  • 1

  • 13


716.

Evaluate  - πππ - xdx

  • π2

  • π22

  • π23

  • π24


717.

215 + 518 has integral terms find least value of n is

  • 256

  • 257

  • 258

  • 259


718.

If sin-1x1 + xdx = Axtan-1x + Bx + C, where C is a constant of integration, then ordered pair Ax, Bx can be :

  • x - 1,  x

  • x - 1, - x

  • x + 1,  x

  • x + 1, - x


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719.

If the value of the integral 012x21 - x232dx   x = sinθ; dx = cosθ

  • 23 + π

  • 23 - π

  • 32 + π

  • 32 - π


 Multiple Choice QuestionsShort Answer Type

720.

The total number of 3-digit numbers, whose sum of digits is 10, is.......


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