Let X- N(10, 5'). What is P(X > 3)?

Q: |x-4|dx

A:

Q: Use Simpson's 1/3 rule with (n₁ = 2), and Simpson -2 1 estimate tan-¹(2). [Hint: tan-¹ (2) = ₁²; dxl

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: cosh cosh 1x dx

A: To Determine: find the integral  Given: we have ∫cosh-1xdx Explanation: we have integral ∫cosh-1xdx…

Q: Evaluate the improper intergal 1 dx using the residue (x² + 100)? theorem.

A: The given problem is to evaluate the given improper integral using the residue theorem. We have to…

Q: 3 2 dx . 3

A:

Q: Evaluate the integral: 3 So |2 - 2x| dx

A: Given,∫032-2xdx

Q: Evaluate the integral.

A: Recall

Q: Evaluate the integral f cosh x -dx cosh? x-1

A: Given, Evaluate ∫coshxcosh2x-1dx

Q: use a geometry formula to find the exact value of the definite integral (-2x+4)dx on the interval…

A: To evaluate the definite integral from suitable geometric formula , (without using integration)

Q: Evaluate the integral.

A:

Q: : Evaluate the Integral x2+7 dx =

A:

Q: Evaluate the integral dx- 1+ x8

A: Given  ∫-∞∞x31+x8dx=?

Q: Evaluate the integral S dx x In x

A: Given, ∫1x ln(x)dx

Q: Find the integral m tanx 1+x?

A:

Q: Evaluate the Integral ∫ 2tan3(x) sec(x) dx

A: To evaluate the integral: ∫2tan3xsecxdx We know that sec2x-tan2x=1 Given interal can be re-written…

Q: Show that (In kx) dx (In x), where x > 0 and k is a positive dx real number.

A: ddxln kx=ddxln x, where x>0 & k is a positive real number.

Q: 9 x- 1 dx

A: Given: ∫19x-1xdx

Q: Evaluate the integral.

A:

Q: Evaluate the integral

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Q: 3 3+ Vx dx

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Q: Evaluate the integral x³/x² - 7 dx.

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Q: Evaluate A Se-* dx by Simpson's 1/3 rule with n=10, work for six digit

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Q: Evaluate the integral. S-x cos(3x) dx

A: Use integration by parts method

Q: Evaluate the integral (2х — 8)dx х2 — 6х + 18

A: We know that integration power rule is - Integration of xn is xn+1/n+1+ C  Here C is integration…

Q: 5. Evaluate x + v1 – x² dx by interpreting it in terms of areas.

A: We have to consider it as sum of two functions.

Q: evaluate the integral

A:

Q: AXYZ is isosceles with base YZ. If meX = 57°, what is mzY? Show work!

A:

Q: Evaluate the integral. 1 8 dx x3

A: I=∫141x2-8x3dx general integral formula is  ∫xNdx=xN+1N+1

Q: Evaluate the integral. 4 3* dx /3

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Q: Evaluate the integral  6 / x^(-1)+3  dx

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Q: Find the integral. 5sinh x -dx 1+cosh x

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Q: Find the integral m tan -x X 1+x?

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Q: Evaluate the integral: S(sec(x) tan(x) + 4•x)dx .

A: The given integral,    ∫secx.tanx+4.xdx

Q: dx ,2 /9 – x² 2

A: Solution

Q: X- S2 *dx

A:

Q: can this be evalnated by using L'HUSpital's Rule? im x2 3x+ 2 sin(x x)

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Q: Evaluate the integral x2 cosh 2x dx.

A: Given:

Q: The approximation of I tanx dx using composite Simpson's rule with n=5 is:

A:

Q: Evaluate the integral. 5х — 7 dx 1+x2

A: Given: ∫5x-71+x2dx To evaluate the integral.

Q: Evaluate the integral. "4 2 + x2 dx

A: Solution:

Q: Evaluate the integral. 'T/3 3 tan5(x) sec (x) dx

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Q: 3.1 dx x² – 25

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Q: Evaluate the integral: | x(4 - x)3/2 dx'

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Q: Evaluate the integral. x² + 25 dx of

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Q: 1. cosh (j) 2. tanh 3. 3. In(2 + j3)

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Q: Use property 8 to estimate the value of the integral 1,12 15/0 - 58 a dx.

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Q: dx x (In x)5

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Q: 16. Evaluate x + v1- x² dx by interpreting it in terms of areas.

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Q: Find the Deriv ative S(x) = 4x In (1x+ t6x)

A: Use product rule to differentiate it.