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Evaluate int0^2("x"^2+"\ x"+2) as lim it...

Evaluate `int_0^2("x"^2+"\ x"+2)` as lim it of sums.

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XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
  1. Evaluate : int("x"^2+1)/(("x"+1)^2)"dx"

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  2. Evaluate : int("dx")/("x"^3+"x"^2+"x"+1)

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  3. Evaluate int0^2("x"^2+"\ x"+2) as lim it of sums.

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  4. Find the area of the region bounded by the parabola "x"^2=4"y\ " an...

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  5. Find the coordinates of the point where the line ("x"+1"")/2=("y"+2...

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  6. Using properties of determinants, prove the following |(3a,-a+b,-a+c),...

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  7. Solving the following differentia equation: "s i n x"("dy")/("dx")...

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  8. Express the matrix as A=[(1,3,5),(-6,8,3),(-4,6,5)] the sum of a symme...

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  9. Evaluate : int(2"x"dot"tan"^(-1)x)/(1+"x"^4)" dx"

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  10. Two cards are drawn successively with replacement from a well shuff...

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  11. Find the image of the point (1,2, 3) in the plane "x"+2"y"+4"z"=38

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  12. A and B toss coin alternately till one of them gets a head and wins...

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  13. If "y"=sqrt("x")+1/"x", Show that 2"x"("dy")/("dx")+"y"=2"\ "sqrt("...

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  14. If y=tan^(-1)((sqrt(1+x^2)-sqrt(1-x^2))/(sqrt(1+x^2)+sqrt(1-x^2))) fin...

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  15. Differentiate with (x^2+\ 1) respect to x from first principle.

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  16. Evaluate : int(sinx)/((1-cosx)\ (2-cosx)\ dx

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  17. Using matrices, solve the following system of equations : x+2y-3z...

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  18. If y=sin(logx), prove that x^2(d^2y)/(dx^2)+\ x(dy)/(dx)+\ y=0

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  19. Verify Rolle's theorem for the function f(x)=\ x^2-5x+4\ on [1, 4].

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  20. Find the projection of vec b+\ vec c on vec a where vec a=2 hat i-...

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