I3 In(x + 3)8(x + 2)dx
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Please provide a clear, correct, and well explained solution
Evaluate the following integral
a3)
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- I need help with a University Physics 1 (Scalars & Vectors) - The problem is described in the image below:Please provide type solution fast i will rate for sureFind the scalar projection of ?1 that is parallelto (or lies in the direction of) ?2In other words, find the scalar amount of ?1 that isparallel to ?2 Please show all written work
- Solve part A and B and follow the directions givenNeeds Complete solution with 100 % accuracy. Otherwise skip if you can't give complete solution for both of them.The normalized 1s wavefunction (n = 1, l = 0) of any one-electron atom or ion can be written as 100 (r, 0, 0) = R₁0(r)Y(0,0) = Z3 παρ 3 where Z is the nuclear charge (number of protons) and a = πmpe2 €0h² (a) Construct an integral expression, in r, 0, and that can be used to determine the expectation value for the hydrogen atom potential energy, (V), and evaluate the integrals over and p. Be mindful of the integration volume element. En == e (b) Define x = Zr/ao and use this form to simplify the integral over r and evaluate it (using the tabulated integral provided above) to obtain an expression for (V). Your result should include a factor of V(a). Use the potential energy operator V(r) = where e represents the electron charge and is the permittivity of a vacuum. Express your result in terms of V(a) (that is, express it as something times V(a)). (c) The energy levels of one-electron atoms and ions can be written in terms of a as Z Z²e² (2²72²2) V (ao) = (E) 8περαon2 Using this and your…
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