Evaluate the integral by making an appropriate u-substitution and applying any necessary formula(s). eVa-21 d.x J VI -21 + C

Q: 53. Use the substitution u = x + 1 to evaluate the integral I dr.

A: Differentiate u with respect to x,  du= 4x3 dx du/4x3= dx

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. x³ (3x4 + 2)³…

A: We need to integrate ∫x33x4+23dxSubstitute 3x4+2=tDifferentiate w.r.t t12x3dx=dtNow∫112t3dt ---{1}

Q: Evaluate the integral by making an appropriate u-substitution and applying any necessary formula(s).…

A: Taking substitution

Q: Evaluate the integral by making an appropriate u-substitution and applying any necessary formula(s).…

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Q: Evaluate the integral 31 by making the substitution u = x° – 4. + C NOTE: Your answer should be in…

A: Given,  ∫ x4x5-431dx

Q: Write the integral in terms of u and du. Then evaluate ∫ xe-x2 dx, u = - x 2

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Q: Use the substitution formula to evaluate the integral. S'ia dx (Hint: simplify first) 1 2 11 22

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Q: Evaluate the integral a* (a* – 4)"da - by making the substitution u = x* – 4. + C NOTE: Your answer…

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Q: Evaluate the integral by making the given substitution.

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Q: Evaluate the integral by any method. NÓTE: Enter the exact answer. sec? (40) dө

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Q: dw V5 – e-2

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Q: Write the integral in terms of u and du. Then evaluate. /VT? + 2 dt, u = 7t? + 2 (Use symbolic…

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Q: Evaluate the integral by making an appropriate u-substitution and applying any necessary formula(s).…

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Q: Evaluate the integral |x'(x* – 7)6 dx, by making the substitution u = x* – 7. +C Note: Your answer…

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Q: Write the integral in terms of u and du. Then evaluate: ∫ (x + 25)−2 dx, u = x + 25

A: In some cases integrals can be transformed as a standard integral using appropriate substitution.…

Q: Evaluate the integral by making the given substitution. dp, и %3D 1 + бр2 1 + 6p2 + C

A: Solve the indefinite integral in the following way:-

Q: Evaluate the integral by making an appropriate u-substitution and applying any necessary formula(s).…

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Q: 18 z-ya (i) z (x² + y? + z?) dz dydz I =

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

Q: Evaluate the integral by making an appropriate u-substitution and applying any necessary formula(s).…

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. dx +C J…

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Q: Evaluate the integral by making the given substitution. dx u = 7x + 4 (7x + 4)3 + C

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Q: Evaluate the integral by making the given substitution.   ∫ x2  √( x3  + 1)    dx , u =  x3   +1

A: The integral formula to be used are: ∫xn dx=xn+1n+1+C, where C is an integral constant. The integral…

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. d.x +C…

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. dy /2y + 1 +C

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Q: Evaluate the integral (= - 11)" de, 26 by making the appropriate substitution: u = 26 |- NOTE: Your…

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. dy V8y + 1 +C

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Q: Evaluate the integral using the given substitution. Sx4x5 -s;² dx , u =x5 -8 * - 8) + C

A: We have to solve given integral by substitution.

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. J (10a4 + 9)"…

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Q: What u-substitution should be made in order to evaluate the following integral? dx (6x² + 4)* u =

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Q: evaluate the integral by making the given substitutions

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Q: B. Re-write the triple integral *** following orders. 1. fff dydxdz 2. fff dxdydz dzdxdy as an…

A: Here firstly finding the curve using the limit then we saw that the region is the part of first…

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

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Q: Evaluate the integral by any method. Enter the exact answer. y2 dy = V9 – 8y

A: The integral is ∫01y29-8ydy Use substitutions to solve the integral. Calculate the exact answer.

Q: Use the basic properties of the integral to calculate fo (u² + 6u) du. S (u? + 6u) du =

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. 4 dx = +C (1…

A: Given:         ∫41-2x6dx     =4∫11-2x6dx substitute u=1-2x→dudx=-2             dx=-12du…

Q: Evaluate the integral by making an appropriate change of variables. 7(x + v) ex2 - y? dA, where R is…

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Q: Evaluate the integral by making the given substitution. xV+ 14 dx + 14 dx, u = x3 + 14

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Q: Evaluate the integral by making an appropriate u-substitution and applying any necessary formula(s).…

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Q: Evaluate the integral by making the given substitution. sec(5z)tan(5z)dz, u = 5x +C Submit Question…

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Q: Write the integral in terms of u and du. Then evaluate. / 6xe* dx, u = -x? (Use symbolic notation…

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Q: Evaluate the integral by making an appropriate u-substitution and applying any necessary formula(s).…

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Q: Evaluate the integral by making an appropriate u-substitution and applying any necessary formula(s).…

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Q: Evaluate the improper integral :Jo B 22 dx e Answer:

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Q: arccos(7y) dy: Consider the integral. V1 – 49y? This can be transformed into a basic integral by…

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Q: Evaluate the integral by making an appropriate u-substitution an applying any necessary formula(s).…

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Q: Evaluate the integral F(= - 0)"dz, (x³ by making the appropriate substitution: u = P(* - 0)"de -…

A: NOTE: Refresh your page if you can't see any equations. . ...............(1) substitute…

Q: Evaluate the integral by making an appropriate u-substitution and applying any necessary formula(s).…

A: ∫ex-14×1x-14dx Let us take u= x-14, then differentiating u with respect to x, we get   du = 12x-14dx…

Q: Evaluate the integral by making an appropriate u-substitution an applying any necessary formula(s).…

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Q: Evaluate the integral by making an appropriate change of variables. || v) ex? - y? dA, where R is…

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. x3 (3x²+2)³ J…

A: Given: I=∫x33x4+23dx     ...1   As we know that; The Power Rule: ∫xndx=xn+1n+1+C ; n≠-1