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int(-a)^(a)f(x)dx= 2int(0)^(a)f(x)dx, if...

`int_(-a)^(a)f(x)dx= 2int_(0)^(a)f(x)dx,` if f is an even function
0, if f is an odd function.

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GURUKUL PUBLICATION - MAHARASHTRA PREVIOUS YEAR PAPERS- JULY 2017-SECTION - II
  1. Given f(x) = 2x, x > 0 , 0 , x le 0 then f(x) is ........

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  2. If int(0)^(prop)(3x^(2)+2x+1)dx=14, then prop = …….

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  3. Prove that the function given by f(x)=x^3-3x^2+3x-100is increasing in...

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  4. Differentiate 3^(x) w.r.t.log(3x)

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  5. Check whether the conditions of Rolle's theorem are satisfied by the f...

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  6. Evaluate int(sqrt(tanx))/(sinx. cos x) dx

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  7. Find the area of the region bounded by the curve x^(2) = 16...

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  8. Given X~ B (n,P) If n= 10 and p=0.4 , find E(X) and Var (X) .

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  9. It the function f(x) = ((5^(sinx) - 1)^(2))/(x log (1 +2 x)) for x ...

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  10. The probability mass function for X number of major defects in a ra...

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  11. Suppose that 80% of all families own a television set. If 5 families...

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  12. Find the approximate values of : cos(60^(@)30')," given "1^(@)=0.01...

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  13. The rate o growth of bacteria is proportional to the number present . ...

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  14. int(-a)^(a)f(x)dx= 2int(0)^(a)f(x)dx, if f is an even function 0, if...

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  15. If f (x) is continuous on 0-4, 2], defined as f(x)=6b-3ax, "for" -4 ...

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  16. If u and v are two functions of x then prove that: intuv dx =uint vd...

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  17. Probability distribution of X is given by Find P(X le 2) and ob...

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  18. Solve the differential equation. (dy)/(dx) - y = e^(x) Hence fin...

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  19. If y = f(x) and x = g(y), where g is the inverse of f, i.e., g = f^(-1...

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  20. int8/((x+2)(x^2+4))dx

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