Evaluate the definite integral. 4x3 dx (x4 + 1)2 2.

Q: Find the indefinite integral

A: Formulae used: ddxxn=nxn-1ddxC=0∫12xdx=x+C∫1a2+x2dx=1atan-1xa+C

Q: Evaluate the definite integral. 1 #111: e3/x dx а. xe dx b. #113: 0. 1

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Q: 12x + 18 1. What is the indefinite integral of / :) dx ? x3 + 5x2 + 2x –8

A: 1)

Q: Evaluate the definite integral. + 3)(x2 + 3 x - 6)³ dx Need Heln? Read d 1t Watch It

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Q: e3x dx e 3x-7 2.

A: We use substitution method to solve this integration

Q: (2) Evaluate the definite Integral √² (6x +9) dx

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Q: Evaluate the definite integral. ¤(x² + 7)°dx (b) / z x/1 – x²dx (a)

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Q: Given ∫(2x5+x3+6x−2)dx, evaluate the indefinite integral. Do not include +C in your answer.

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Q: Given ∫(4x5−3x4−x2−2)dx, evaluate the indefinite integral. Do not include +C in your answer.

A: Given ∫4x5-3x4-x2-2dx

Q: evaluate the given integral. L (2x - 3/4) dx

A: Solution:Given     Let     I=∫ 2x+34 dxFormula:∫xndx=xn+1n+1+C

Q: Evaluate the definite integral.

A: Consider the given integral. I=∫-π3π3x4sinx The given function is continuous function in the given…

Q: Evaluate the definite integral: 4 dx 0 x2+16

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Q: Evaluate the integral. •3 dx x4/x² + 3 NOTE: Enter the exact answer.

A: Explanation of the answer is as follows

Q: Evaluate the definite integrals by u-substitution. In5 fe (3-4e*) dx a. 2 cos 3x dx b.

A:

Q: Evaluate the definite integral (a) ľ² _l+ x +24 dx, (b) [¹² (x² + 3) (2x + 1)dx, (c) [¹ x²e²¹dx -1…

A: ∫-11 xdx1+x2+x4

Q: 2 - dx x2 +1 01

A:

Q: 2 Using substitution, the definite integral 3x2 dx is equivalent to /x³ + 1

A: To find the correct option.

Q: (x² +2x-2)dx 3

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Q: What is the value of the definite integral | (-4x° – 3x + 3x – 1) dx? Enter your answer as an exact…

A:

Q: 2 Evaluate the definite integral S: 1 dx. 1 x+a2 ter -17 a- 19

A: solution:

Q: Evaluate the definite integrals a) 1 dx = - 1 1 dx = x2 b) 1 1 dx x4 c) 1

A: As per our company guidelines we are supposed to answer only first three sub-parts. Kindly repost…

Q: Evaluate the definite integral. 피/2 x° sin x dx -T/2 1 + x6

A: The given function is x6 sinx1+x6 We have to integrate this function over the interval -π2, π2.

Q: Evaluate the definite integral. '4 I 4? + 2)°x dx

A: Let x2+2→u Differentiating both sides of the above equation with respect to x, we get…

Q: 3) Erawate the definite Integral Јц (12x2-4х +3 )dx

A:

Q: 4.1 Given ∫(−2x6+3x5−3x3−6)dx, evaluate the indefinite integral. Do not include +C in your answer.

A:

Q: 7.) Evaluate the following definite and indefinite integrals a.) ò (5-2x* -2x*-cos.x)dx +6x)dx b.)

A: Follow step 2

Q: 3. Evaluate the definite integral. Give exact answers S(x² + 2x – 4)dx - a. ~2 2x+1 dx Vx2+x-2 b.

A: Take integration. Follow step 2nd .

Q: state what method applies and how one applies it, but do not evaluate the integral:

A: Degree of the numerator =2 Degree of the denominator = 1 Since the degree of the numerator is more…

Q: 3. Given ∫(x5−3x4+6x3+3)dx, evaluate the indefinite integral. Do not include +C in your answer.

A: The given integral is ∫ (x5 -3x4 +6x3 + 3) dx.obtain the integral value as follows.

Q: Evaluate the definite integral. · V½ dx

A:

Q: 3. fx² √9-x² dx

A:

Q: 4 S* 6x + 2 dx

A: the objective is to evaluate the integral.

Q: Use the Change of Variables Formula to evaluate the definite integral. dx (x2 +2)° (Use symbolic…

A: Answer and explanation is given below The formula of integration is ∫xndx=xn+1n+1+c Let…

Q: Evaluate the definite integral. 25 10e V X dx 0/

A: We use substitution method

Q: Find the indefinite integral

A: To evaluate: ∫2x+1ex2+xdx Let substitute t=x2+x dtdx=2x+1dt=2x+1dx Substituting the value,…

Q: Evaluate the definite integral. '16 9e V x dx

A: Topic- Definite integration

Q: Find as many integrals as you can using the formulas and techniques you have studied.…

A: (a) part Consider the given integral ∫dxxx2-1 Use the substitution method to find the integral…

Q: Evaluate the definite integral. 6. -x e dx eX + 5

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Q: 10 tx-10)°dx. Evaluate the definite integral "(x-10)°dr,

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Q: 6. dx 13+4x- ?ܢ

A: A detailed solution is given below.

Q: a) Find the definite integrals of the following functions (i) Sx(x² +9)10 dx (ii) xp xu)x (iii) S…

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Q: 7. Evaluate the definite integral by hand. x dx -1 x' +1

A:

Q: dx -(xvr -1)

A: Topic = Definite Integration

Q: aluate the definite integral. x6 + a2 dx (a > 0)

A: We have to find the integral

Q: Evaluate the definite integral. e 1/x dx

A: Now consider,

Q: 13x? + 17 I( 2x+1)(x² + 4 dx What is the indefinite integral of

A:

Q: х — 1 dx 2?(а + 1) 1

A:

Q: Evaluate the definite integral. (a) S, (x³ – 6x² + e-*)dx (b) S G+ 2)dx

A: a) ∫02x3-6x2+e-xdx=x44-6x33+e-x-102 Formula: ∫xndx=xn+1n+1 and ∫emxdx=emxm=x44-2x3-1ex02…

Q: Evaluate the definite integral. Son f (x) dæ, ƒ (x) =6e" /(4+e*)

A: It is known that: ddxekx=kekx∫ekxdx=1kekx+C