Integral Table from http://integral-table.com. Table of Integrals∗. Basic Forms. xndx 1 = xn+1. + 1. p 2 p. ax + bdx = ( 2b2 + abx + 3a2x2) ax + b (26) 15a2. 1 dx = ln jxj (2) x. px(ax +. = h(2ax + b)pax(ax + b) 4a3=2. p. b2 i ln a x + pa(ax + b) (27) Z. 1. b)dx. udv = uv. vdu. (3) Integrals with Logarithms. Z. ln axdx = x ln ax x. (42)
The following is a list of integrals (antiderivative functions) of trigonometric functions. For antiderivatives involving both exponential and trigonometric functions, see List of integrals of exponential functions. For a complete list of antiderivative functions, see Lists of integrals.
0.3066If the functionsf. k(x)(fork=1,2,3,... ) are integrable on the interval [a,b] and if the series 0.301 1 made up of these functions converges uniformly on that interval, this series may be integrated.
functions consisting of products of powers of trigonometric functions of θ. An overwhelming number of combinations of trigonometric functions can appear in these integrals, but fortunately most fall into a few general patterns—and most can be integrated using reduction formulas and integral tables. This section examines some of these
Compute the following integrals using the guidelines for integrating powers of trigonometric functions. Use a CAS to check the solutions. (Note: Some of the problems may be done using techniques of integration learned previously.)
2024年8月17日 · Solve integration problems involving products and powers of sinx and cosx. Solve integration problems involving products and powers of tanx and secx. Use reduction formulas to solve trigonometric integrals. In this section we look at how to integrate a variety of products of trigonometric functions.
List of integrals of trigonometric functions. The following is a list of integrals (antiderivative functions) of trigonometric functions. For antiderivatives involving both exponential and trigonometric functions, see List of integrals of exponential functions.