Example 14 Evaluate the integral dz

Q: 3/2 1/2 q q 1 2 dq

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Q: ,2 2. 6+t dt

A:

Q: Evaluate the integral 3. 2х dx х2 — 4

A: Will use substitution to find this integral. Substitute x square - 4 is equal to t.

Q: 14. Evaluate the integral: | ze dz. 1

A: Integrating by parts.

Q: Evaluate the integral. dx (х — 12)(х — 15)

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Q: Evaluate the integral. | a sec"(3z) dr =| + C

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Q: |x-4|dx

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Q: 7. Evaluate the integral - 3)(4x² + 1) dx

A: To evaluate the given integral

Q: Example 36. dx

A:

Q: Evaluate the integral. esin−1 3x √1-9x² 32) dx

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

Q: I.Evaluate the ff. iterated integrals.

A: Given that: ∫36dyy3y2-9

Q: (1 point) Evaluate the integral by making the given substitution. dx (3x + 14)4 3x +14 u

A: Using integration by substitution

Q: Evaluate the integral.

A: Now put,

Q: Example 5: Use double integral to find the are

A: In this question we will use basic concepts of double integration to get the required area bounded…

Q: + 4x – 2) dx -1

A:

Q: Evaluate the integral. 5x dx -5x 5x e

A: Given,  ∫5x e-5xdx

Q: 2 x ln((2x)²) dx 1

A:

Q: 5. Integral ReR dR

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Q: Evaluate the integral. '5 dx (x2 - 1)3/2

A: *Given integral is, I=∫251x2-132dx Integrate the above expression. I=∫251x2-132dx Put,…

Q: S(歳)dx 2

A:

Q: 3. Evaluate the improper integral: dx | Tale + 1)'

A:

Q: Evaluate the integral (ez – 107) dr

A: Solve the following integral

Q: 2,1 (1/x^3+2) find the integral

A: To Determine: find the integral of 1x3+2 in interval 2,1 Given: we have a function f(x)=y=1x3+2…

Q: Evaluate Integrals 1 √ ₁ (2 + √5) √5 dy

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Q: Integral of 1/10^z

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Q: dx 4 3

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Q: Compute this improper integral showing all steps.  integral of x ln(x) dx from 0 to 2.

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Q: Evaluate integral of dx/x+2 from -6 to -10 Choices: •In 2 •In 3 •21/3 •1/2

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Q: Evaluate the integral∫ (4 /√(4 - x2)dx.

A: Let, I=∫44-x2dx Substitute x=2sint  gives dx=2cost dt…

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

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Q: |20²-1 |2*-1 – 1|x dx

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

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Q: problem in photo attached

A: Evaluate the given integral as follows.

Q: Evaluate the integral.

A: To evaluate ∫1x3-1dx

Q: dx -1 × + 1

A: The given integral, ∫-17dxx+1

Q: 2. Find the integral Jsec dx

A:

Q: dx -x - e

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Q: 3lnx² 1. S -dx

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Q: Evaluate the integral of (x^2)/(x^2 + a^2)^3/2 dx

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Q: Evaluate the integral.

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Q: Evaluate the integral. dx 10% (a2 + x2,3/2 a>0 (a2 + x2)3/2' a > 0

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Q: Evaluate the integral (2х + 6)dx х2 — 2х + 17

A:

Q: 2. Evaluate the integral

A: To integrate

Q: Evaluate the integral. dx O 21

A: We are asked to evaluate the integral.

Q: Evaluate the integral dn Ş" 4 22 3+2²

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Q: Evaluate the integral. 3x dx 3* +4

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Q: - 3 dx xll

A: topic - indefinite integral

Q: dx —3 (х-1)(х-2)

A: Given: ∫-331x-1x-2dx