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Find int(-pi//4)^(pi//4) sin^3 x dx...

Find `int_(-pi//4)^(pi//4) sin^3 x dx`

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SHARAM PUBLICATION-MODEL QUESTION PAPER-18-EXERCISE
  1. Differentiate tan^(-1)((sqrt(1+x^2)-1)/x) w.r.t sin^(-1)((2x)/(1+x^2))...

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  2. Write the equation of the tangent to the curve y=[x] at the point (-2,...

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  3. Find int(-pi//4)^(pi//4) sin^3 x dx

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  4. Write the order of the differential equation whose general solution is...

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  5. Write the scalar projection of the vector veca = 2hati -hatj + hatkon ...

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  6. Write the equation of the line parallel to the line (x-2)/-3=(3-y)/-2=...

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  7. If y = cos^-1 sqrtx then find (dy)/(dx).

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  8. If y = a sinx + b cos x then prove that y^2 + ((dy)/(dx))^2 = a^2 + b^...

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  9. Find the points on the curve y = x^3 - 11x + 5 at which the equation o...

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  10. Find the point P on the curve y^(2) = 4 ax, which is nearest to the po...

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  11. Evaluate int(x+3)(2-x) dx.

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  12. Evaluate int(0)^(a)(sqrt(x))/(sqrt(x)+sqrt(a-x))dx

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  13. int0^pi(xsinxdx)/(1+cos^2x)

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  14. Using integration, find the area of the region bounded by the curves ...

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  15. Let R is the equivalence in the set A = {0, 1, 2, 3, 4, 5} given by R ...

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  16. If F : R rarr R is given by f(x) = (3-x^(3))^(1//3) then find ( fof ) ...

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  17. Let * is the binary operation on N given by a**b=HCF (a, b), where a, ...

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  18. Solve: tan^(-1)x+2cot^(-1)x=(2pi)/3

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  19. Write the solution of the following L.P.P. Maximize z = 3x + 2y subj...

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  20. IF Ay is the cofactor of the element ay of the determinant |{:(2,-3,5)...

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