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Standard Integrals
Standard Integrals
12
Mathematics
Undergraduate 2
02/04/2008
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Term
int(Xndx) = ?
 Definition
1/(n+1) * x n+1
Term
int ( x-1) = ?
 Definition
ln(x)
Term
int(exdx) = ?
 Definition
ex
Term
int(axdx) = ?
 Definition
ax/ln(a)
Term
int(cos(x)dx) = ?
 Definition
sin(x)
Term
int(sin(x)dx) = ?
 Definition
-cos(x)
Term
sec2(x)
 Definition
tan(x)
Term
sec(x)tan(x)  
 Definition
sec(x)
Term
1/(n2+x2)
 Definition
1/n tan-1(x/n)
Term
1/(n2-x2)
 Definition
sin-1(x/r)
Term
Riemann Sum?
 Definition

n 

(Δx)Σ f (xi)

i= 1 
Term
trapezoid rule?
 Definition

 

∆x/2 (f (x0 ) + 2 f (x1 ) + · · · + 2 f (xn−1 ) + f (xn ))

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