Evaluate: a) +7sec2 x dx /x 1+x?

Q: 65. + 1 dr RVT -x dx 66.

A: We’ll answer the 65th question since we answer only one question at a time. Please submit a new…

Q: 90 3X 53 D Y = to

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Q: (8 + x³)5 3x² dx

A: Integration by substitutions

Q: d 14t5 dt = ? 7. dx 1.

A: Please see the answer in Step 2

Q: dx 1-16X x91-1

A: I am going to evaluate the given problem using the trigonometric substitution.

Q: 5а? + 36х + 45 dx d. x2 (x2 + 9)

A: We will solve the problem.

Q: Evaluate ∫4∞(1/x2+16)dx

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Q: 77. Use substitution with u = x² + 4x + 3, = (x +2) dx.

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Q: Evaluate: (answer in fractional form) So S/2 √xydx dy

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Q: evaluate using the appropriate method or combination of methods.

A: Let,

Q: Evaluate ∫x2 dx/√(9 - x2)

A: Consider the given integral as Apply the substitution method So, the integral is

Q: What is your H0? O Ho : µ = 13 %3D O Ho : jµ = 14

A: We have given that  Sample size, n = 225 Sample standard deviation, s = 2.25 Sample mean, x̅ =…

Q: 2x d tdt da

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Q: 57. Use FTC I to show that x" dx = 0 if n is an odd whole number. Explain graphically.

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Q: V4v? -9 dv

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Q: dx Evaluate So x²+4

A: Follow the procedure given below.

Q: 6x dx. Jo 1+x2 9. Evaluate

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Q: So S/2 √xydx dy

A: solution:-∫01∫y2yxydxdy=∫01y∫y2yxdxdy=∫01yx3/23/2y2ydy=∫01yy3/23/2-y23/23/2dy=23∫01y2-y7/2dy

Q: 11. f VI+x6 dx 3.957736

A: Given definite integral is ∫121+x6dx. Now using Ti-83, given the following command. 1. Click MATH…

Q: Evaluate the integrals in Exercises

A: In some cases a substitution can simplify an integral to a standard integral. For example the…

Q: Evaluate. (Be sure to check by differentiating!) |(x³ + 1)*x² dx 4.

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: 4 しょx) dn =? Simpliky Thenk you

A: Given integral, ∫14x2+xdx

Q: Use geometry to evaluate f(2x+5)dx

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Q: A |BD|=|AC| X=? 30 20 ANS:110 B.

A: In ∆ABC, apply the fact that the sum of interior angles of a triangle is 180°, to find ∠BAC.…

Q: 1 dx, x > 2 x2 Vx2 – 4

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Q: - Trig Sub x5 dx (36x2 + 1)ž

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Q: Evaluate. 12 6e* dx J6

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Q: Evaluate using the method of trig substitution 6. S dx √16-x²

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Q: Evaluate , L (x + 3) dydx

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Q: SU = 94 in ; OU = (9x – 16) in %D %3D

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Q: V16x2 – 8x +1 dx

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Q: (2.3) it 2.

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Q: Q2) By using the Lagrange interpolation method, estimate the value of y(0.5) where y(3) = 0.62 ,…

A: Lagrange's Interpolation formula is, f(x)= (x-x0) (x1-x0)×y1+ (x-x1) (x0-x1)   ×y0f(x)= (x-x0)…

Q: d 18x 5. In(9x? – 8) : dx 9x2 – 8

A: Consider the following expression: ddxln9x2-8 Apply the chain rule:…

Q: dx 3.

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Q: O+> dx 6*?

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Q: Evaluate Si(3-1x-21)dx by:

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Q: d 2 7. (In x)? = In x dx

A: Consider the following expression: ddxlnx2=2×lnx2-1×ddxlnx=2lnx×1x=2xlnx

Q: 3 dy 4y-3

A:

Q: dx 1-xV

A: We have to evaluate the following integral: I=∫x1-xxdx Let us substitute, 1-xx=u Then we get,…

Q: dx Evaluate xV – 9 13

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Q: 1 5* – ex +=) dx

A: Solution Step 1

Q: Use the Quotient Rule to evaluate and simplify

A: Given that: ddx x - 13x + 2

Q: x2 dx (9— х?)2

A: Given integral is: I=∫x2(9-x2)32dx Let us substitute x=3sinu dx=3cosu du Transformed integral is…

Q: -133x So 33x dx 0.6698 0.6670 0.6671 0.6699 O

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Q: 4 (2x + 6)*dx -3

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Q: Using the Method of Substitution, evaluate : 41x dx V1 – x2

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Q: dx 2 x² +k? Evaluate

A: Given: I=∫x-ax2+k2dx So, we can also write as; I=∫x-ax2+k2dx=∫xx2+k2-ax2+k2dx=∫xx2+k2dx-a∫1x2+k2dx…

Q: Use a change of variable to evaluate: -In 4 So dz 3+2e

A: