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Laplace Transform - University of Utah

Laplace Transform - University of Utah

www.math.utah.edu

which is a true extension of the usual table found on the inside covers of calculus books. Some entries for the special integral table appear in Table 1 and also in section 7.2, Table 4. The L-notation for the direct Laplace transform produces briefer details, as witnessed by the translation of Table 2 into Table 3 below. The reader

  Table, Relating, Transform, Laplace transforms, Laplace, Integral table

Integral Table

Integral Table

integral-table.com

Table of Basic Integrals Basic Forms (1) Z xndx= 1 n+ 1 xn+1; n6= 1 (2) Z 1 x dx= lnjxj (3) Z udv= uv Z vdu (4) Z 1 ax+ b dx= 1 a lnjax+ bj Integrals of Rational Functions (5) Z 1 (x+ a)2 dx= 1 x+ a (6) Z (x+ a)ndx= (x+ a)n+1 n+ 1;n6= 1 (7) Z x(x+ a)ndx= (x+ a)n+1((n+ 1)x a) (n+ 1)(n+ 2) (8) Z 1 1 + x2 dx= tan 1 x (9) Z 1 a2 + x2 dx= 1 a tan 1 ...

  Table, Relating, Integral table

Integral Table

Integral Table

integral-table.com

Integrals with Trigonometric Functions Z sinaxdx= 1 a cosax (63) Z sin2 axdx= x 2 sin2ax 4a (64) Z sinn axdx= 1 a cosax 2F 1 1 2; 1 n 2; 3 2;cos2 ax (65) Z sin3 axdx= 3cosax 4a + cos3ax 12a (66) Z cosaxdx=

  Table, Relating, Integral table

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