Module 6: Participation Activity #9 Find the indefinite integral. Enter an exact answer. Remember to enter the +C if appropriate. + 323 9x – 6) dæ - -

Q: Evaluate the definite integral two ways: first by a u- substitution in the definite integral and…

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Q: 9— 2г5 x2

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Q: evulate the indefinite integral  x/((x+1)^2(x+2)^2) showcase all work

A: We have to find indefinte integral.Integral is given below:

Q: Evaluate the indefinite integral. 5 fz¹ √8+zºdz + C

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Q: . Evaluate the definite integral: -3 7x dx х3 — х2 — 12х -2

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Q: Find the indefinite integral.

A: ∫ −1√1−(4t+1)2 dt Take the constant out:    ∫a·f(x)dx=a·∫f(x)dx =−∫1√1−(4t+1)2 dt Apply…

Q: Evaluate the definite integral. 9. (9 — х) dx -2

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Q: Evaluate the indefinite integral 2 +6 dr

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Q: Evaluate the definite integral.

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Q: Evaluate the definite integral. .3 8 CSC csc²( Z) dz 3 .3 27

A: We have given definite integration with respect to z. While solving the definite integral, we don't…

Q: Evaluate the indefinite integral. S csc² 3x v4cot3x – 5dx ,and • Identify what is the u=? and du=?…

A: Given:   Intergral is given

Q: Find the definite integral using the Fundamental Theorem. dt 6t NOTE: Enter the exact answer. 1 dt…

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Q: Evaluate the indefinite integral. бх + 7 +C. || x2 +1

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Q: 2x-1 Use substitution to find the general integral

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Q: dr 3 - 4r - r2

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Q: Evaluate the definite integral. V3/2 dr 1 -2

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Q: Evaluate the definite integral. 1/3 3 dx 1- 9x2

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Q: Evaluate the definite integral. '1 3 + 7t³j+ Vik) dt /-1

A: Consider the given definite integral

Q: /(3x? + 3х — 5) dx - = + C.

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Q: Evaluate the indefinite integral. sec2 (0)es tan (9) de (Express numbers in exact form. Use symbolic…

A: Given: I=∫sec2θe5tanθdθ    .....(1) Let, u=tanθ Now differentiate on both sides with respect to θ.…

Q: Evaluate the indefinite integral: 2 —8ӕе" dx - + C.

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Q: Evaluate the definite integral dz -325 64 315 64 -3072 1024 3069 1024

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Q: Evaluate the definite integral. 1/3 3 dx 1 - 9x2

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Q: Evaluate the definite integral. '5 3 9 Vx2 dx

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Q: Consider the following. √u-5(6 - ² + ¹0) du Simplify the integrand by distributing u-5 to each term.…

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Q: Evaluate the Indefinite Integral 6x! -dx За? + 14

A: To evaluate the given indefinite integral- ∫6x3x2+14dx Here we will use the following integration…

Q: In evaluating /4-x dr by substitution, if 4 = 4-x then what will be the resulting indefinite…

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Q: Determine the indefinite integral 4 7 6r -- 5 4

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Q: 2x(

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Q: Evaluate the definite integral. 1/7 2 dt

A: From the given problem:   I=∫-10t17-t27dt   From the properties of the integral:…

Q: Determine the indefinite integral 4 √√x + 3 6x 1/0² - 1717 dx 4 X

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Q: V2xdx ... Evaluate the given definite integral using appropriate substitution: ... 3 ... B ... © V2

A: Given query is to find the value of integral.

Q: Evaluate the definite integral. 1. 9 + (x + 5)2

A: We know that ∫dxx2+a2=tan-1xa+cSo,∫dx(x+5)2+9=tan-1x+533+c

Q: Evaluate the definite integral two ways: first by a u-substitution in the definite integral and then…

A: The objective of the question is evaluate the definite integral.

Q: 1. Evaluate the indefinite integrals: – 2x - | а. 3x*

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Q: Evaluate the indefinite integral. dt 6 (t + 13)° + C

A: Explanation of the answer is as follows

Q: In evaluating/ *sin³(2x)cos(2x) dr by substitution, if M = sin(2x) then what will be the resulting…

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Q: Evaluate the definite integral : (3교2+1)호

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Q: Evaluate the indefinite integral: 3 3 x² dx + С. x3

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Q: Evaluate the indefinite integral sin2 (7 - 2) de

A: Indefinite Integration

Q: Consider the definite integral x'e-2xdx. Fill in the blanks for the equivalent definite integral…

A: .................(1) substitute

Q: Evaluate the definite integral. 5 4u [(-*--*--* du (u + 3)² 4 5 1 ((---)-D 4u du (u+3)²2 4 (Type an…

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Q: Evaluate the definite integral. 1/5 5 dx V1- 25x2

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Q: S 3rsinh (x²) cosh(x²)dr

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Q: 2 パ+3

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Q: Evaluate the definite integral: 0.8 4ze-2%dz = -0.2

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Q: 4x Evaluate the indefinite integral. 1ª + 1 IP-

A: The given integral is: ∫4xx4+1dx

Q: Q) Evaluate. the integral below x²4ux (7x-35-x²5x²)(xzux+u)

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Q: Evaluate the definite integral. Use "u" substitution when appropriate only! 5. (3x - x2

A: Integral Question

Q: sec² (1+ /7) dr. 6) Use the substitution u = 1+Va to evaluate the indefinite integral|

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