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int0^(pi/2) x^2sinxdx...

`int_0^(pi/2) x^2sinxdx`

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int_0^(pi/2) (x^2+x)dx

Determine a positive integer n such that int_0^(pi/2)x^nsinx dx=3/4(pi^2-8)

Determine a positive integer n such that int_0^(pi/2)x^nsinx dx=3/4(pi^2-8)

Evaluate int_0^(pi/2) sin^2x dx

Evaluate: int_(0)^(pi//2)sinxdx

If int_0^pi x f(sinx) dx=A int_0^(pi/2) f(sinx)dx , then A is (A) pi/2 (B) pi (C) 0 (D) 2pi

If u_(n) = int_(0)^(pi/2) x^(n)sinxdx , then the value of u_(10) + 90 u_(8) is : (a) 9(pi/2)^(8) (b) (pi/2)^(9) (c) 10 (pi/2)^(9) (d) 9 (pi/2)^(9)

int_0^1(tan^(-1)x)/x dx is equals to (a) int_0^(pi/2)(sinx)/x dx (b) int_0^(pi/2)x/(sinx)dx (c) 1/2int_0^(pi/2)(sinx)/x dx (d) 1/2int_0^(pi/2)(""x)/(sinx)dx

int_0^(2pi) sin^2x dx

(5)Value of int_(0)^(2)3x^(2)dx+int_(0)^(pi//2)sinxdx is

XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
  1. Write the projection of the vector 2 hat i- hat j+ hat k on the vector...

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  2. int(x+3)/(sqrt(5-4x-x^2))dx

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  3. int0^(pi/2) x^2sinxdx

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  4. If the three vectors vec a+ vec b , vec b+ vec c and vec c+ vec a ar...

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  5. If vec a=2 hat i-3 hat j+ hat k , hat b=- hat i+ hat k , vec c=2 hat ...

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  6. If y(x) is a solution of the differential equation ((2+sinx)/(1+y))...

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  7. If x=a(cost+tsint)a n d y=a (sin t - t cos t), then find the value of ...

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  8. If (x-y)dot e^((x/(x-y)) = a , Prove that y(dy)/(dx)+x=2ydot

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  9. Using properties of determinants, prove the following : |[a, a^2,bc]...

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  10. Write the value of the determinant |[p,p+1],[p-1,p]| .

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  11. Let S be the set of all rational number except 1 and * be defined on...

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  12. Find the distance of the point P(–1, –5, –10) from the point of int...

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  13. Find the equation of the plane that contains the point A(1,-1,2) and ...

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  14. A cottage industry manufactures pedestal lamps and wooden shades, e...

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  15. Find the shortest distance between the lines l1 and l2 whose vector ...

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  16. Find a unit vector perpendicular to both of the vectors vec a+ vec b ...

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  17. Find a vector in the direction of vector 2 hat i-3 hat j+6 hat k k whi...

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  18. Write the projection of vector hat i+ hat j+ hat k along the vector ...

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  19. Evaluate : int0^pi(xtanx)/(secx+tanx)dx

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  20. Show that a cylinder of a given volume which is open at the top has...

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