∫cosx1 + sinxdx is equal to from Mathematics

Subject

Mathematics

Class

JEE Class 12

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 Multiple Choice QuestionsMultiple Choice Questions

11.

2y0 is equal to

  • 2y2 - 2y1 - y0

  • y2 - 2y1 - y0

  • 2y2 - 2y1 + y0

  • y2 - 2y1 + y0


12.

23ex is equal to

  • 3ex

  • 3(h - 1)ex

  • 3(eh - 1)2ex

  • None of the above


13.

If vectors i^ + j^ + k^, i^ - j^ + k^ and 2i^ + 3j^ + λk^ are coplanar, then λ is equal to

  • - 2

  • 3

  • 2

  • - 3


14.

Given, a  ba = 1 and if a  + 3b2a - b = - 10b is equal to

  • 1

  • 3

  • 2

  • 4


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15.

dxx +x is equal to

  • 12log1 +x + c

  • 2log1 +x + c

  • 14log1 +x + c

  • 3log1 +x + c

     


16.

The value of x21 +x6dx is

  • x3 + c

  • 13tan-1x3 + c

  • log(1 + x3) + c

  • None of these


17.

What are the DR's of vector parallel to (2, - 1, 1) and (3 4, - 1) ?

  • (1, 5, - 2)

  • (- 2, - 5, 2)

  • (- 1, 5, 2)

  • (- 1, - 5, - 2)


18.

1 - cosxcsc2xdx is equal to

  • tanx2 +c

  • - cotx2 +c

  • 2tanx2 +c

  • - 2cotx2 +c


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19.

cosx1 + sinxdx is equal to

  • sinx2 - cosx2

  • sinx2 + cosx2

  • 2sinx2 - cosx2 +c

  • 2sinx2 + cosx2 +c


D.

2sinx2 + cosx2 +c

cosx1 + sinxdx= cos2x2 - sin2x2sin2x2 + cos2x2 + 2sinx2cosx2dx= cos2x2 - sin2x2sinx2 + cosx2dx= cosx2 - sinx2dx= 2sinx2 + cosx2 +c


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20.

a + b b + c c + a = a b c, then

  • a b c = 1

  • a b c are coplanar

  • a b c = - 1

  • a b c are mutually perpendicular


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