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Evaluate : int0^(pi/2)(xsinxcosx)/(sin^4...

Evaluate : `int_0^(pi/2)(xsinxcosx)/(sin^4x+cos^4x)\ dx`

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Evaluate the following integral: int_0^(pi//2)(xsinxcosx)/(sin^4x+cos^4x)dx

Evaluate int_(0)^(pi//2)(xsinxcosx)/(cos^(4)x+sin^(4)x)dx

int_0^(pi/2) sin^4x/(sin^4x+cos^4x) dx=

STATEMENT-1 : int_(0)^((pi)/(2))(xsinxcosx)/(sin^(4)x+cos^(4)x)dx=(pi^(2))/(32) and STATEMENT-2 : int_(0)^(a)f(x)dx=int_(0)^(a)f(a-x)dx

int_(0)^( pi/2)(sin^(4)x)/(sin^(4)x+cos^(4)x)dx

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Evaluate :int_(0)^((pi)/(2))(sin x+cos x)dx

XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
  1. If the binary operation * on the set of integers Z , is defined by ...

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  2. If int0^1(3x^2+2x+k)dx=0, find the value of kdot

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  3. Evaluate : int0^(pi/2)(xsinxcosx)/(sin^4x+cos^4x)\ dx

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  4. Evaluate: int0^(pi/2)2sinxcosxtan^(-1)(sin"x")"\ dx"

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  5. integrate

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  6. Find the projection of vec a on vec b , if vec a . vec b =8 and vec b=...

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  7. Evaluate : int(sec^2x)/(3+tanx)\ dx

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  8. Using principal value, evaluate the following: sin^(-1)(sin ((3pi)/5...

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  9. Write the value of the determinant |[2, 3, 4],[ 5, 6, 8],[ 6x,9x, 12 x...

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  10. If matrix A=(1\ 2\ 3),\ write A A', where A ' is the transpose o...

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  11. Find (dy)/(dx), if y=sin^(-1)[xsqrt(\ 1-x)-\ sqrt(x)\ sqrt(1-x^2)\ ]\

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  12. Show that the function f defined as follows, is continuous at x=2 ,...

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  13. Write the cartesian equation of the following line given in vector ...

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  14. Write the position vector of the mid-point of the vector joining th...

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  15. If vec a\ dot\ vec a=0 and vec a\ dot\ vec b=0, then what can be c...

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  16. If f: R rarr R is defined by f(x)=3x+2,\ define f\ [f(x)]dot\

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  17. Write the principal value of tan^-1 (-1)

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  18. Write the values of x-y+z from the following equation: [[x+y+z], [x+z ...

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  19. Write the order of the product matrix : [[1], [2], [3]] [[2,3,4]]

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  20. If |[x, x],[ 1, x]|=|[3, 4],[ 1, 2]|, write the positive value of x

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