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1. www.integral-table.com › downloads › single-page-integral-tableTable of Integrals

   www.integral-table.com › downloads › single-page-integral-table

   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=

2. www.mathportal.org › formulas › integration_formulasIntegration Formulas - Math Portal

   www.mathportal.org › formulas › integration_formulas

   Integration Formulas. 1. Common Integrals. Indefinite Integral. Method of substitution. ∫ f ( g ( x )) g ′ ( x ) dx = ∫ f ( u ) du. Integration by parts. ∫ f ( x ) g ′ ( x ) dx = f ( x ) g ( x ) − ∫ g ( x ) f ′ ( x ) dx. Integrals of Rational and Irrational Functions. + 1. ∫ x dx. n xn. = + C. + 1. ∫ dx = ln x + C. x. ∫. c dx = cx + C. x. 2.

3. www.integral-table.com › downloads › integral-tableTable of Basic Integrals

   www.integral-table.com › downloads › integral-table

   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 ... Integrals with Trigonometric Functions (71) Z sinaxdx= 1 a cosax (72) Z sin2 axdx= x 2 sin2ax 4a (73) Z sin3 axdx= 3cosax 4a + cos3ax 12a ...

4. www.math.uh.edu › ~etgen › IntegralsTable of Integrals - UH

   www.math.uh.edu › ~etgen › Integrals

   Table of Integrals. 1. ur+1(x) [u(x)]ru0(x) dx = C, r 6=−1. r. 2. Z u0(x) dx. = ln |u(x)| u(x) 1. C. 3. eu(x)u0(x) dx = eu(x) + C. 4. Z. sin [u(x)] u0(x) dx = − cos u(x) + C. 5. cos [u(x)] u0(x) dx = sin u(x) + C. 6. tan [u(x)] u0(x) dx = ln | sec u(x)| + C. 7. Z. cot [u(x)] u0(x) dx = ln | sin u(x)| + C. 8. Z.

5. www.integral-table.com › downloads › Basic-Integral-TableTable of Basic Integrals1

   www.integral-table.com › downloads › Basic-Integral-Table

   Table of Basic Integrals1 (1) Z xn dx = 1 n+1 xn+1; n 6= 1 (2) Z 1 x dx = lnjxj (3) Z u dv = uv Z vdu (4) Z e xdx = e (5) Z ax dx = 1 lna ax (6) Z lnxdx = xlnx x (7) Z sinxdx = cosx (8) Z cosxdx = sinx (9) Z ... CSUN, Integrals, Table of Integrals, Math 280, Math 351, Differential Equations Created Date:

6. www.math.unl.edu › ~mbrittenham2 › classwkBasic integration formulas - University of Nebraska–Lincoln

   www.math.unl.edu › ~mbrittenham2 › classwk

   Integration by parts: u dv = uv − v du + C Partial Fractions: to integrate a function like ax+b (x+c)(x+d): Write ax+b (x+c)(x+d) = A (x+c) + B (x+d) = A(x+d)+B(x+c) (x+c)(x+d), so ax+b = A(x+d)+B(x+c)=(A+B)x+(Ad+Bc), so a = A+B and b = Ad+Bc; solve for A and B. The approach for more general denomenator can be found in nearly any calculus ...

7. www.physics.umd.edu › hep › drewTable of Integrals - UMD

   www.physics.umd.edu › hep › drew

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