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]
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)}