Evaluate the integral. V4– e2¤ dx +C

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 any mothod d choice: dx (b) e* dx

A: Consider the given: ∫1x-x3dxApply u…

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

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Q: 3 2y ! I ye dxdy 1 0 Evaluate the integral and simplify your answer completely.

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Q: a. ²₁ (5x¹-2x³) dx

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Q: Evaluate the integral į. (1 – x? – y?)dA R

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Q: / dw W8 W8

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Q: Evaluate the Integral (9ze" )dz + C

A: Evaluate the integral.      ∫9xex+5 dx

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. dx (7x4 + 6)…

A: Given: ∫x37x4+63dxSubstitute  u=7x4+6       Then dudx=28x3…

Q: dw V5 – e-2

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Q: (c) e Op 25 00sp55 Op > 0 O There is no p which makes the integral improper. Op55

A: Given that        ∫05e-px dx

Q: Evaluate the integral: rV1+ 25 /1+ 25z°dz + C

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Q: Evaluate the integral SSRe-(²*+y°)dA, where R is given by x? + y² 0. е

A: We will answer the first question since the exact one wasn't specified. Please submit a new question…

Q: 2. x dx (x2 - 2)3

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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. (2 + 2y)? dy

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Q: The improper integral o be +25 da Select one:

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Q: Evaluate the integral. dA, R X + 1 R = [0, 9] × [0, 8]

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Q: Q5- The value of the integral J. Where C is Z = |3| (Z+1)*

A: Cauchy integral formula

Q: Write a definite integral that represents the area of the region Y, = x² • 2x + 4 Y2 = 2x + 29 30 Y…

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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: Q5- The value of the integral J. Where C is Z = |3| (Z+1)* .........

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Q: dx What is the result of integral ? le xln³x A) B) o C) D) – o

A: Use the substitution for Lnx=v

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. [t√4 t√4t² +…

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Q: Evaluate the integral. NOTE: Enter the exact answer. 9T dy da Jo (ry + 1)²

A: To find the value of the given integral :-

Q: 1 Replace the letter A in the integral Ae*+ +3,2 dx so that the integral evaluates to + C. A =…

A: Given: ∫Ae6x3+3x2dx=12e6x3+3x2+C To Find: The value of A. Concept: ∫exdx=ex+c

Q: Evaluate the integral f 2x (x² + 2)° dx using the substitution u = x? + 2. | 20(a* + 2)" de +C

A: The given integral is: I=∫2xx2+26 dx

Q: Evaluate the integral Select the correct answer. O ㅇ 12 πC 24 πC 12 + + + 나이 이어 나이 이어 1 4 −|◄ −|+…

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Q: Jend the integral T the Substetution y= 2 seeo

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Q: VI+ 25z°dz Evaluate the integral: + C

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

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Q: 12-1 – 1|r dr 1|x dx

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. t/7t² + 8 dt…

A: Topic= Integration

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 da Select one: a. +C O b. о с. O d. - Inz - -/+C 2x inz -/+C - 2in1+²+C N 4

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Q: Evaluate the integral 27 | by making the substitution u = x – 7. + C NOTE: Your answer should be in…

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Q: Evaluate the integral 17 a* (x* – 3)"dæ by making the substitution u = x* – 3. +C NOTE: Your answer…

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Q: Evaluate the integrals: x-y х-у (x+y)3 dxdy (x+y)³ kpxp I xpáp S pue Are the results the same? Why…

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Q: Q2 Evaluate the integral by first reversir 5 c2 ntegration Sán Vxª + 1dxdy Vy A: 6.9945

A: Here we have,

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. dy V10y+1 +C

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Q: Write the integral in terms of u and du. Then evaluate. /V31? + 3 dt, u= 37 + 3 (Use symbolic…

A: The given integral is, ∫t3t2+3 For u=3t2+3 then, du/dt =6t and dt=du6t. The integral in terms of u…

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

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Q: Evaluate the double integral : Answer: (3 z? +4 y") dr dy =

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Q: Evaluate the integral and choose the correct answer. fxe² dx O Ọ xe ttc o xe etc Ọ - xẻ +C xe - 2e +…

A: Topic = Integration

Q: Write the integral in terms of u and du. Then evaluate. | 8xe* dx, u = x2 (Use symbolic notation and…

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Q: ii) Evaluate the integral // Va? + y°dxdy. 1-y2

A: Find your answer below

Q: Use the substitution formula to evaluate the integral. T/20 (1.clan 5x) sec2 5x dx Select one: O A -…

A: Substitute the trigonometric function in some other variables.

Q: Evaluate the integrals. ∫y2/(y3 + 27)dy

A: Given: ∫y2y3+27dy

Q: ds :? V5s+6

A: We use substitution method to solve the given integration .

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