dx 4. +6x+6)

Q: (b) Evaluate the integral using by parts (* sin 2xdx formula:

A: Let I=∫x2sin2xdx. We have to evaluate the integral by using integration by parts.

Q: Evaluate the integral. 11 sec 40 tan ²0 do 11 sec 40 tan ²0 d0 =

A:

Q: Use a trigonometric substitution to evaluate the integral. dx

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Q: de 2)

A: we have to evaluate the following integrals using trigonometric substitutions. 1) ∫2x3x2-1dx 2)…

Q: Evaluate the integral by completing the square and using trigonometric substitution.

A: Integrals and derivatives are considered to be reverses of each other. For example if we have a…

Q: Evaluate the integrals.

A:

Q: Evaluate the integral using the indicated trigonometric subs x² - 81 dx, x = 9 sec(0)

A: To evaluate: ∫x2-81xdx Solution: Let substitute x=9secθ Differentiating both sides,…

Q: 5. Evaluate the integral by using trigonometric substitution.

A: Put x = 5sec u         dx = 5sec u tan u du

Q: Evaluate the integral using FTC I.

A:

Q: 1 dx 4x2 +9

A:

Q: I have to evaluate the integral using the indicated trigonometric substitution.

A: Given,

Q: x²dx V 2х-x2

A:

Q: Evaluate the integral (Trigonometric Substitution) 1 (b²y6 – y®)Zdy

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Q: Evaluate the integral * cosh? dx -In 2

A:

Q: (z+ 3)° dz (40 – 6z – 22)

A:

Q: evaluate the integral by completing the square and using trigonometric substitution.

A:

Q: Evaluate the integral using trigonometric substitution. Draw and label the appropriate triangle and…

A: fdv ffddf

Q: Evaluate the integral using FTC I.

A:

Q: Find the integral using trigonometric substitution.

A: The given integral is,

Q: dx Evaluate the integral/ by completing the square and using trigonometric substitution. V36x+6x2…

A: Given,  ∫dx36x+6x2  We have to evaluate the integral

Q: Evaluate the integral using Trigonometric Sub. 3 |(22 + 2z + 11)ždz

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

Q: use an appropriate substitution and then a trigonometric substitution to evaluate the integrals.

A: Evaluate: ∫1-(lnx)2xlnxdx

Q: x2 — бх + 9 dx V6x – x2

A: We have to find value of given Integral

Q: х2 — 49 dx .

A:

Q: 3z dz. - (1– 42 – 222)²

A: Integration of any function between certain variable limit gives the value of area under curve…

Q: write the integral in terms of u and du. Then evaluate.

A:

Q: Evaloate the integral by completing Vx²+4x+20 the square and using trigonometric substitutron.

A: by completing the square using trigonometric substitution

Q: Evaluate the integral using Trigonometric Sub. 3 (e2z + 8e² – 9)¯ždz

A:

Q: Use a substitution to evaluate the following integral.  ∫ 6x 2 (fourth root 12 + 2x3 ) dx

A:

Q: O Evalu ake I dx

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Q: evaluate the integral by completing the square and using trigonometric substitution.

A:

Q: 2. (x²-1)3/2 - dx

A: Given:      ∫x2-13/2xdx    substitute u=x2-1→dudx=xx2-1→dx=x2-1xdu          =∫u4u2+1du     Perform…

Q: Evaluate the integral using FTC I.

A:

Q: Use trigonometric substitution to find or evaluate the integral

A: the given integral is: ∫34x3x2-9dx we have to use the trigonometric substitution to find or evaluate…

Q: Use geometry and properties of integrals to evaluate

A: we have to  integrate the given integral ∫01(2x+1-x2+1)dx

Q: Use trigonometric substitution to find or evaluate the integral                            ∫ x3 /…

A: Consider the given integration as∫x34+x2dx

Q: Find the integral using an appropriate trigonometric substitution /25x² – 1 dx

A: Trigonometric substitutions can be used in integrals to simplify a complex integral. Some of the…

Q: Use trigonometric substitution to find or evaluate the integral ∫√(25 − 9x2 )dx

A: Use trigonometric substitution to find or evaluate the integral ∫√(25 − 9x2 )dx

Q: 1 | (n²z6 – 28)Zdz

A:

Q: Evaluate the integrals ∫(sec θ tan θ) √(1 + sec θ) dθ

A: Our Aim is to evaluate the integral given below:-∫sec(θ) tan(θ)sec(θ) +1dθ  -(i)

Q: The suitable substitution to evaluate the integral cot (2x) dx is sin (2x) O u= tan(2x) O u= csc(2x)…

A: Integral is given

Q: Use the Fundamental Theorem for Contour Integrals to evaluate the given integral. Write the answer…

A:

Q: Evaluate the integral ∫dx/(sqrt(x^2+4x+13)) By completing the square and using trigonometric…

A:

Q: Evaluate the integral. ∫π/6  π /2 Cot2x  dx

A: The given integral is y=∫π6π2cot2xdx A function can only be integrable if the domain is defined.…

Q: 55. Prove the formula SuT-zidx=;sin using geometry by interpreting the integral as the area of part…

A: We have given the integral;

Q: Evaluate the integral using the FTC I.

A: Solution

Q: Evaluate the integral using Trigonometric Sub. 3 + 2z + 11)2dz -2

A:

Q: xdx 3 2.

A: Given : ∫xdx16-x23

Q: 4) Show that the circumference of the unit circle is equal to 1 1 dæ (an improper integral) x2…

A:

Q: Evaluate the integral using trigonometric substitution. 1 dx xV1 + x6

A: