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Q: Evaluate the following indefinite integral. You must show work. | 16/xdx

A: value=?

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A:

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A: I am attaching image so that you understand each and every step.

Q: L{sinh 6t– cosh t

A: we have to find the value of L{sinh(6t)-cosh(t)}

Q: 3. Consider the following integral, where c is a constant: 5x dr. -2)3/2 (a) in order to simplify…

A: Solve above integration by substitution method.

Q: State the limit definition of integnal. Use the definition to derivate the following definite…

A: Answer

Q: Find the total diffedrential  w = x^16yz^4+sin(yz)

A: w = x16yz4 + sin(yz) Total differential  dw =wxdx + wydy +wzdz

Q: Evaluate the following integrals: dx x4 ||

A: We can find the integration as below.

Q: Write down a standard integral formula for the indefinite integral of tan x.

A: I hope you are asking for the derivation of standard integral for tan(x).

Q: Evaluate the integral cot Xdx

A:

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A:

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A:

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A:

Q: evaluate the indefinite integral.

A:

Q: 11 8 xr xeza S. XE 16.

A:

Q: a) Estimate the following definite integral numerically by using Simpson's rule. Take n=4 steps.…

A: Sol:- Simpson's Rule Approximation∫abfxdx ≈Δ x3fx0+4fx1+2fx2+4fx3+…+4fxn-2+fxn-1, where Δ x = b-an,…