Integrals and Powers

Related BrainMass Solutions

• Trigonometric integrals involving powers

  You were correct in your choice of trig identities, and all you had to do (as I have shown) was to use the identity again, and integrate accordingly. The trigonometric integrals involving powers are given.

• Integrals; Sine; Cosine; Bounded Region etc.

  The integrals for sine and cosine functions are provided.

• Finding the centroid of a 2D shape.

  Find the centroid of a two dimensional shape that is formed by the intersection of the lines: y = x-3 and y = x^2 note: the evaluation of the different integrals require usage of "ugly" numbers such as (1+sqrt(13))/2 with different powers

• Fourier Cosine Series and Fourier Series Expansion

  The values in the powers of m for the series expansion have to be combined and this leads to a dependence as reciprocal powers of n which tend to unity as n gets large for the normalized functions that I plot at the end of the document attached.

• Complex Variables : Stereographic Projections, Hyperbolic Functions and Integrals and Circles

  Complex Variables, Stereographic Projections, Hyperbolic Functions and Integrals and Circles are investigated.

• How do I integrate sine to an odd power of 3 or higher?

  The key to solving the problem is to convert each factor of in to , which will leave you with a standing alone and to powers times , which are integrable.

• Evaluate the Integrals

  78991 Evaluate the Indefinite Integrals A. Evaluate ∫ x(sqrt(x+1))dx B. Find the area bounded by y= x/(1+x)^2, y=0, x=0, and x=2 C. Evaluate ∫ 1/x(sqrt(x+9))dx D.

• Integrate [sin(x) - x]/x^3 from 0 to infinity

  odd powers.

• Average length of polymer as a function of tension

  Each of the integrals is over a theta and a phi variable. But the function g(theta) does not depend on phi, so these integrals just factor out.