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Essentials of Chemical Reaction Engineering, 2nd Edition by H. Scott Fogler

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A. Numerical Techniques

Lake Michigan—unsalted and shark free.

A.1 Useful Integrals in Reactor Design

Also see www.integrals.com.

0χdx1-x=ln11-x (A-1)

x1x2dx(1-x)2=11-x2-11-x1 (A-2)

0xdx(1-x)2=χ1-x (A-3)

0xdx1+εx=1εln(1+εx) (A-4)

0x(1+εx)dx1-x=(1+ε)ln11-x-εx (A-5)

0x(1+εx)dx(1-x)2=(1+ε)x1-x-εln11-x (A-6)

0x(1+εx)2dx(1-x)2=2ε(1+ε)ln(1-x)+ε2x+(1+ε)2x1-x (A-7)

0xdx(1-x)(ΘB-x)=1ΘB-1lnΘB-xΘB(1-x) ΘB1 (A-8)

0W(1-αW)1/2dW=23α[1-(1-αW)3/2] (A-9)

0xdxax2+bx+c=-22ax+b+2b for b2=4ac (A-10)

0xdxax2+bx+c=1a(p-q)ln(qpxpxq) for b2 > 4ac (A-11)

where p and q are the roots of the equation.

ax2+bx+c=0 i.e., p, q=-bb2-4ac2a

0xa+bxc+gxdx=bxg+agbcg2Inc+gxc (A-12)

A.2 Equal-Area Graphical Differentiation

There are many ways of differentiating ...

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