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Prove that int cos^2xdx=x/2+(sin2x)/4+c...

Prove that `int cos^2xdx=x/2+(sin2x)/4+c`

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A N EXCEL PUBLICATION-PROBABILITY-QUESTION BANK
  1. Find the value of lambda for which the vectors 2i-4j+5k, i-lambdaj+k ...

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  2. Find the angle between the vectors veca=hati+hatj-hatk and vecb=hati-h...

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  3. Prove that int cos^2xdx=x/2+(sin2x)/4+c

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  4. Find int 1/sqrt(2x-x^2)dx

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  5. Find int xcosxdx

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  6. Evaluateint0^pilog(1+cosx)dx

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  7. Find int0^5(x+1)dx as limit of a sum.

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  8. The area bounded by the curve above the x-axis, between x = a and x = ...

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  9. Find the area of the circle x^2+y^2=4 using integration

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  10. y=acosx+bsinx is the solution of the differential equation (d^2y)/...

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  11. Find the solution of the differential equation xdy/dx+2y=x^2,(x!=0) ...

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  12. Find the shortest distance between the lines barr=(2i-j-k)+lambda(3i-5...

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  13. Equation of the plane with intercepts 2,3,4 on the x,y,z axis respecti...

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  14. Find the Cartesian equation of the plane passing through the point A(2...

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  15. Consider the LPP Maximise z=3x+2y Subject to the constraints x+2...

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  16. Consider the LPP Maximise z=3x+2y Subject to the constraints x+2...

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  17. If P(A) = 0.3, P(B) = 0.4, then the value of P(AuuB) where A and B are...

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  18. A card from a pack of 52 cards is lost. From the remaining cards of th...

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  19. A pair of dice is thrown 4 times. If getting a doublet is considered a...

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  20. A pair of dice is thrown 4 times. If getting a doublet is considered a...

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