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Evaluate the following Integrals

1)  ʃ [2x2 / (x-1)2(x+1)] dx

2)  ʃ [2x3-3x2-x-7 / 2x2-3x-2] dx



Find f'(x) iff(x) = ex(1+Inx)

f(x) = x3e1/x

f(x) = √[x2-1](x+1) / (x2+1)3/2

Find f'(x) if

f(x)= √[In(e2x + e-2x)]

f(x) = e-2x sin2x



Find f'(x) if

f(x) = e√(x-1)

f(x)= √[In(e2x + e-2x)]

f(x) = e-2x sin2x

f(x) = ex(1+Inx)

f(x) = x3e1/x

f(x) = √[x2-1](x+1) / (x2+1)3/2

Evaluate the limit as x turns to 3

Lim √(x+1) - 2 / x-3




Evaluate the limit as x turns to 1-

Lim [sin(x2-1) / e(Inx) - 1]



Decompose the following into partial fractions


1) 8x3+13x / (x2+2)2


2) 4x2+5x+3 / (x+1)(x2+5)

Solve the inequality

x>√(x+2)

IxI / Ix+1I -1 > 1


Evaluate ∫0π √(1+cos8xdx)



Evaluate the limit as x turns to 2+

lim {sin[In (x-1)] / √(x-2)}



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