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int(pi/5)^(3pi/10) (sinxdx)/(sinx+cosx)...

`int_(pi/5)^(3pi/10) (sinxdx)/(sinx+cosx)`

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    MODERN PUBLICATION|Exercise EXERCISE|43 Videos

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MODERN PUBLICATION-TEST PAPER 1-PROBLEM
  1. Show that the line y = mx + c touchees y = 4ax if c = a/m.

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  2. Evaluate int(4x^2/((x-3) (x+1)) dx

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  3. int(pi/5)^(3pi/10) (sinxdx)/(sinx+cosx)

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  4. Solve : (dy/dx)= (x + y)^2

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  5. Find the particular solution of the following differential equation: (...

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  6. Find the area of the region bounded by the line y = 3x + 2, x-axis and...

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  7. Vectors vec(a), vec(b) and vec(c) are such that vec(a) + vec(b) + vec(...

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  8. Find the equation of a plane biscting the line segment joining (-1,4,3...

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  9. Find the foot of the perpendicular drawn from the point (5,7,3) to the...

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  10. Congruence modulo 3 relation partitions the set Z into how many equiva...

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  11. Maximise Z=5x(1)+7x(2) Subject to x(1)+x(2)le4, 5x(1)+8x(2)le24 ...

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  12. If [[x,x^2,x^3-1],[y,y^2,y^3-1],[z,z^2,z^3-1]]=0 then prove that xyz...

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  13. Exaniming consistency and solvability, solve the following equations b...

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  14. If A=((cosx,sinx),(-sinx,cosx)) then prove that A^n=((cosnx,sin nx),(-...

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  15. Find dy/dx x=cos^(3)t/sqrtcos2t, y=sin^(3)t/sqrt cos2t

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  16. Show that the shrtest distance of the point (0, 8a) from the curve ax^...

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  17. Integrate : int(ln (x+√(x^2 + a^2))dx.

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  18. Solve the following differential equations (dy)/(dx)+2ytan x= sin x,...

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  19. Find the area of the région on closed between y = 4x-1 and y^2=2x

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  20. Find the distance of the point (3,-4,5)from the plane 2x+5y-6z-19=0 me...

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