Use the Change of Variables Formula to evaluate the definite integral. V+3dx (Express numbers in exact form. Use symbolic notation and fractions where needed.) %3D

Q: 10 – 3x°dx_ Land de In (cose)

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Q: O A car is depreciating according to the formula V= 45000 (2.31)05X where 4 sI X is the age of the…

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Q: Use the Change of Variables Formula to evaluate the definite integral. - 5x/3 cot? (G) csc (즉) d»…

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Q: Evaluate each indefinite integral by finding the antiderivative.

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Q: 4. dr

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Q: (Use symbolic notation and fractions where needed. Use C for the arbitrary constant. Absorb into C…

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Q: Evaluate the definite integral: 12 4 dr I – 4

A: In the question we have to evaluate the definite integral of given function.

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

A: We can solve this as follows:

Q: ' (In r)³ -dr 1. rp-

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

Q: 13e13z Consider the indefinite integral 26z dr: This can be transformed into a basic integral by…

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Q: Evaluate the indefinite integral. (Use symbolic notation and fractions where needed. Use C for the…

A: We have to solve the integration

Q: Evaluate the definite integral. -8 I ( + 2) dr = 2)' da

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Q: Evaluate the definite integral. 4 6x (Simplify your answer)

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Q: Use substitution to rewrite and solve the definite integral: 5æ(a² – 2)*dæ Let u = New integral: du…

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Q: Evaluate the following indefinite integral. Do not include +C in your answer. |(-52° + 4)da

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Q: Н. arccos 3x dx Evaluate the indefinite integral. , and (1-9x² • Identify what is the u=? and du=?…

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Q: Evaluate the definite integral. 1 e? + 6 dz Jo ez + 6z

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Q: Evaluate the indefinite integral. (Use symbolic notation and fractions where needed. Use C for the…

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Q: Use known geometric formulas and the net signed area interpretation of the definite integral to…

A: Consider the integrals a)∫−585−3xdxb)∫−7049−x2dx

Q: Evaluate the indefinite integral. Use symbolic notation and fractions where needed. Use C for the…

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Q: Evaluate the indefinite integral. (Use symbolic notation and fractions where needed. Use C for the…

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Q: (x+1) dx 13 (メ-

A: We have to solve above question

Q: Use the properties of the definite integral to find -g(x)dx, if possible, given that g(x)dx = - 7.…

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Q: „5/0 dz. Evaluate the integral Answer:

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Q: C. Write and evaluate the definite integral.

A: C) The definite integral. We used the formula

Q: Rewrite the expressions in terms of exponentialsand simplify the results as much as you can. (sinh x…

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Q: 2. S (3e* +2 d.

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Q: tan r + cot? r + 4 ) dæ .2 7.

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

Q: | (- - 52 + 1) dæ? Enter What is the value of the definite integral your answer as an exact fraction…

A: The objective is to find the exact value of the definite integral.

Q: If you do not know what substitution to make, try reducing the integral step by step, using a trial…

A: a Given: ∫18tan2xsec2x2+tan3x2dx Let u=2+tan3x du=3tan2xsec2xdxdu3=tan2xsec2xdx After substituting…

Q: Calculate the integral and express your answer in simplest form. / 9z(x? – 10)® - dæ 5

A: Given∫9xx2-1085dx

Q: Evaluate the definite integral 10x(x-1)' dx. HINT: Try a change of variable.

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Q: Evaluate the definite integral below. Enter your answer as an exact fraction if necessary. -6x¬1/2…

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Q: Evaluate the definite integral. NOTE: Enter the exact answer. r13 ti + tj d

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Q: Use the method of substitution to find the following indefinite integral. sin (9z-5)dz J sin…

A: We substitute 9z-5=t and then use the result  that integration of sinx is -cosx

Q: Evaluate the integralx 9+x², dx. ..... x 9+x? dx= (Simplify your answer. Use C as an arbitrary…

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Q: Evaluate the integral. (Use symbolic notation and fractions where needed. Use C for the arbitrary…

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Q: Find the indefinite integral ∫u6 √(5+u7) du Please answer it with complete solution. Exaplain step…

A: The given integral ∫u65+u7du can be evaluated as, Put, 5+u7=t Taking differential on both sides,…

Q: Evaluate the following integrals. 2x3 + 4x² + 7x – 6 dr 1. x4 – 3x2 – 4

A: Given:     ∫2x3+4x2+7x-6x4-3x2-4dx   Factor the denominator:     =∫2x3+4x2+7x-6x-2x+2x2+1dx Perform…

Q: 3. Evaluate each definite integral by using geometric formulas. (a) 14.x – 12| dr dr (b)

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Q: Evaluate the definite integral: dr Answer:

A: We solve this question by using above formula

Q: Evaluate the definite integral (15a? – 2a + 10)dæ - : 3

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Q: Evaluate the definite integral: -4|피) da %3D I | 00

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Q: Evaluate the indefinite integrals using Substitution (write your answers in terms of a). a/d=+C. hep…

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Q: xp8 1+ (4x + 1)2 -1/2 Evaluate the integral below using any appropriate algebraic method or…

A: The given integral is: I=∫-120 281+(4x+1)2dx

Q: 8x? raluate the integral: dr 49 – x²

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Q: 1. 2V) dr

A: Here we have to find integral of 1

Q: Evaluate the indefinite integral. (Use symbolic notation and fractions where needed. Use C for the…

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Q: Use a calculator or a computer to evaluate the definite integral. Enter the exact answer. 13 %3D =…

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