Evaluate the definite integral given below. 7 dx 16+16x? Enter your answer in exact form.

Q: (7*-4*)dx

A: Given: I=∫13(7x−4x)dx

Q: State the trigonometric substitution you would use to find the indefinite integral. Do not integrate…

A: We have to find substitution of x

Q: Evaluate the definite integral. (x+ 3) dx -1 Select one: OA. 30 B. -30 C. 22 D. 25

A: we have to find the following definite integral

Q: (Sy?-8X46) dx =?

A: We need to evaluate ∫045x2-8x+6dx

Q: Evaluate the definite integrals. So sin (4x) cos (5x)dx Hint: Write your answer in the fraction form…

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Q: Evaluate the integral. | 17e3 cos(2x) dx + C NOTE: Enter the exact answer.

A: SOLUTION-

Q: Evaluate the definite integral. NOTE: Enter the exact answer. ti + t²j 0.

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Q: Find f 6x dx? А. х2 + с В. 2х2 + с c. +c D. Зx2 + C

A: This is a problem of indefinite integral. Based on the general formula we will answer the question.

Q: cos® x dx COS

A: Since they are 3 different questions as per the rule we are allowed to do only the first part of the…

Q: 49 What is the value of the definite integral 21x -4 dz? Provide your answer below:

A: To evaluate the the given integration .

Q: C) Evaluate the definite integral: | (5x – e²) dz

A: Given definite integral is: ∫-535x-exdx

Q: -15 хdx 5. Jo Vx+1

A: The definite integral is defined to be exactly the limit . Recall;      ∫(ax+b)ndx=…

Q: Evaluate the integrals. Simplify your answers 5. S sec“x dx

A: The solution is given below.

Q: Evaluate the definite integral. 7x-4 dx Select one: O A. -2.34 OB. 28 O C. 2.33 O D. -2.33

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Q: Evaluate the definite integral. /2 7 cos(x) sin(sin(x)) dx 3.21788385 Need Help? Read It

A: Given that ∫0π27cosx sinsinx dx We have to evaluate the given definite integral by substitution…

Q: Evaluate the definite integral (4x + 8x+1) dx where A is a constant greater than 2. (a) 4A3 + 8A –…

A: we have ∫2A4x3+8x+1dx   we have to evaluate this integral   and we have to apply limits…

Q: Given ∫(−6x5 +5x3 +1)dx, evaluate the indefinite integral. Do not include +C in your answer.

A: To calculate the indefinite integral of the expression -6x5+5x3+1. To integrate the provided…

Q: Evaluate the integral: S/2 So sin(4t- u) du dt

A:

Q: Q1: Answer A OR B A - Evaluate the following integral. e2x cos3x dx

A: let I=∫e2xcos(3x) dxlet  u= cos(3x) ,  v =e2x I= ∫cos(3x) e2x dx∫cos(3x) e2x dx=…

Q: бх + 9 dx V6х — х2

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Q: 4. Evaluate the following integral by trigonometric substitution [Apply the method that was taught…

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Q: Given |(-6x° – 4x + 5x – 3)dx, evaluate the indefinite integral. Do not include +C in your answer.

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Q: Evaluate the integral. 5e" sin x dx +C NOTE: Enter the exact answer.

A:

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: Find the Indefinite Integrals below (Show your work, and DO NOT simplify your answer). x3 – 1…

A: We have the basic Integration formulas,   ∫(f(x)+g(x))dx=∫fxdx+∫gxdx+c    ∫sinaxdx=-cos(ax)a+c…

Q: |(x? - 1) dx. Use the definition of the definite integral to evaluate

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

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Q: Evaluate the integral. 5 x² e dx + C NOTE: Enter the exact answer.

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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: 10 Sin h Lx) メア os

A: ∫4910 sinh xxdx

Q: Evaluate the integral. 17 x2 e" dx + C NOTE: Enter the exact answer.

A:

Q: 1 a) I = S dx 1+cos(x)

A: Hi, at a time we can answer only one question and the exact one was not specified. So, I have…

Q: Evaluate the definite integrals a) (бх? — - 2x – 10) dx = / (x+ 4)² dx = b) 1 c) (x* – x³ ) dx - ||

A: Some of the properties of integration  ∫abf(x)dx=F(b)-F(a) ∫xndx=xn+1n+1+C…

Q: Evaluate the given definite integral. 4x3 dx 5 2 .3 dx = | (Simplify your answer.) 2

A: (4x3-x35)=5(4x3)-x35(4x3-x35)=20x3-x35(4x3-x35)=19x35

Q: Examples: Evaluate the following integrals: 1) S tan?(3x)dx

A: Given integral is: I=∫tan2(3x) dx Let us assume u=3x du=3dx I=13∫tan2u…

Q: Evaluate the integral. 5e" sin x dx +C || NOTE: Enter the exact answer.

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Q: Evaluate the integral. +C 17e" sin x dx || NOTE: Enter the exact answer.

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Q: Evaluate the definite integral. 8. dx 3

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Q: Evaluate the definite integral 05/dx. Give an exact, completely simplified 0.5_6x² answer. Hint:…

A: Use  substitution method for solving integral.

Q: Evaluate the definite integrals (give exact answers): 3 a) | (2x +3)(x – 5)dx 2 1 - (2³ – 2x² + 1)dx…

A: a) ∫23(2x+3)(x-5)dx ∫23(2x2 -10x +3x -15)dx ∫23 2x2 -7x -15)dx [2x3/3 -7x2/2 -15x ]23 18 - 63/2 -45…

Q: Consider the indefinite integral x · Vx? + 3 dæ: This can be transformed into a basic integral by…

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Q: 3n/2, #/? (sin 2x)dx

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Q: Evaluate the definite integral. 27 dx 27 - 1 dx =O (Simplify your answer.)

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Q: Given |(-2x° + 3x – 3x° – 6)dx, evaluate the indefinite integral. Do not include +C in your answer.…

A: Integral x^n is x^(n+1)/(n+1)

Q: Evaluate the indefinite integrals below. Use u-substitution when appropriate. (a) /*(4" - 1)"dz (e)…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Evaluate the following integrals. Express the final answer in its simplest form and without negative…

A:

Q: Evaluate the integral. 16 x e3* dx = +C NOTE: Enter the exact answer.

A: We have to find the integral

Q: Evaluate the integral. 13 dx +C NOTE: Enter the exact answer.

A: Here we will solve the given integral,

Q: Refer to the definite integral to answer the following questions: 4 [*(16-x²) dx

A: This is a problem related to integration. Based on the general formula and concept we will answer…