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" (iv) "int(1)^(2)(3dx)/((x+4)(x-7))...

" (iv) "int_(1)^(2)(3dx)/((x+4)(x-7))

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int_(1)^(2)(dx)/(sqrt(x^(2)+4x+3))

int_(1)^(2)(1)/(x^(2)-4x+7)dx=

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int_(1)^(4)(3x^(2)+2x)dx

int(1)/(3x^(2)+7)dx

int(1)/(3x^(2)+7)dx

(7) int(2^(x)dx)/(sqrt(1-4^(x)))

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Let u=int_(0)^(oo)(dx)/(x^(4)+7x^(2)+1) and v=int_(0)^(x)(x^(2)dx)/(x^(4)+7x^(2)+1) then

" (1) "int(x^(2)+7x+4)/(x^(3)+x^(2)-x-1)dx