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Evaluate : int0^(pi//2)(cosxdx)/((2-sinx...

Evaluate : `int_0^(pi//2)(cosxdx)/((2-sinx)(3+sinx))`

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    MODERN PUBLICATION|Exercise EXERCISE|39 Videos

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MODERN PUBLICATION-SAMPLE PAPER 2019-EXERCISE
  1. Find the intervals in which the function y=(lnx)/(x) is increasing and...

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  2. Integrate the following int[(2x+1)/sqrt(x^2+10x+29)]dx

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  3. Evaluate : int0^(pi//2)(cosxdx)/((2-sinx)(3+sinx))

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  4. Find the area of the region bounded by the curve y=6x-x^2 and the x-ax...

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  5. Find differential equation of the curve y=ae^(3x)+be^(5x).

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  6. Obtain the general solution of the following differential equations. (...

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  7. Find a unit vector perpendicular to both of the vectors veca + vecb an...

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  8. Show that (vecaxxvecb)^2 = a^2b^2 - (veca.vecb)^2.

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  9. Find the vector equation of a plane which is at a distance of 3 units ...

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  10. Find the point where the line (x-2)/1=y/(-1)=(z-1)/2 meets the plane 2...

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  11. Prove that f:X to Y is injective iff for all subsets A, B of X, f (A c...

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  12. If sin^(-1)((x)/(a)) +sin^(-1)((y)/(b)) = sin^(-1)((c^(2))/(ab)), t...

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  13. Find the inverse of the following matrices using elementary transforma...

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  14. Examining consistency and solvability, solve the following equation by...

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  15. Out of the adult population in a village 50% are farmers, 30% do busin...

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  16. If (a + bx)e^(y/x) = x, then show that x^3d/dx (dy/dx) = (x dy/dx - ...

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

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  18. Evaluate the following integrals int(dx)/(2cos^2x+3cosx)

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  19. Determine the area common to the parabola y^2=x and the circle x^2+y^2...

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  20. Solve y^(2)+x^(2)dy/dx=xydy/dx.

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