By making the change of variables t = x? in the integral that defines the gamma function, show that Г(1/2) — 2 e*dx. O Use your result from (a) to show that [T(1/2)]? = 4 e 0,

Q: Q/Find the Integral of the following: Inx 1- Not: log₂x In2 log,x X -dx 2- fix dx 1+e dx

A: To evaluate the following integrals.

Q: a n п i = 6 dz EVALUATE IN TERMS OF GAMMA FUNCTION.

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Q: Find the integral of the following equation integrate cos(x + pi/3) dx

A: Given problem:- Find the integral of the following equation integrate cos(x + pi/3) dx

Q: 3. Find each definite integral: A. S(x- 3x) dx | -1 B. ( 2cosx + 2sinx dx

A:

Q: What is the relationship between the Beta function and the gamma function, and how can it be…

A: The Beta function, denoted as B(x, y), and the Gamma function, represented as Γ(z), are special…

Q: Compute the fourth derivative of cos(x+1) - ln(x²+4) + x²²+1 with respect to x. Also, compute the…

A: Sol:- First part:- Fourth Derivative of given function:-…

Q: Use logarithmic differentiation to find the derivative of y with respect to the independent…

A:

Q: xyey+tan-1(x2+y2)=pi/4. Find y in terms x. It is not a differentiation or integral.

A: Given: xyey+tan-1x2+y2=π4To find: y in terms of x.

Q: (29) Evaluate the integral: r/3 csc? xdx. (30) Find the derivative of the integral function: g(x)…

A: