What is the value of the definite integral | (42 – 4a? - 7x + 9) dx? Enter your answer as an exact fraction if necessary. Provide your answer below:

Q: What is the value of the definite integral 4x – 3 -dæ? dx? 1² – I 2

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Q: (27 dy 7. ソー

A: Definite integration

Q: Evaluate the definite integral. 1 dx 16 + (x + 3)2 1.57079632| x Need Help? Read It

A: see 2nd step

Q: Consider the following integral. | 4x7 V4 + 15 dx With the right substitution, the integral becomes…

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Q: .3 What is the value of the definite integral | (3t? – t – 6) dt? Enter your answer as an exact…

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Q: Evaluate the integral. dx (x – 4)(x – 7) - (Use symbolic notation and fractions where needed. Use C…

A: Solving the problem by finding the value of integral.

Q: Evaluate the indefinite integral. (x2 – 6x + 9)dx , and • Identify what is the u=? and du=? Show the…

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Q: 2 12x³ –6 Evaluate the definite integral: ;dæ aª – 2x+7 1 Note: Express your answer in exact terms.

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Q: Evaluate the definite integral. e4 dx xylnx

A: We can evaluate the integral as below.

Q: N3/4 4 e4x dx 5) 1 + e8x

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Q: What is the value of 'h’ in evaluating [ (3x² + 3x – 5)dx, using Simpson's rule, taking 10…

A: The interval is given from 2 to 3 Hence length  of interval is 1

Q: Find the value of the definite integral x/]r² – 9| + 7 dx |z²

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Q: What is the value of the definite integral r- 2 da? O 15 O 40 O 20 O 10

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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: Use integration by part to find: (x+2)e²*d

A: We have to evaluate the given integral using integration by parts.

Q: Choose the most appropriate answer The definite integral: (4x + 14)dx 14)de = %3D O48 O32 60 O 51

A: Now we will find the solution  we know  ,    Integration of Xn dx = Xn+1 / (X+1)  + C   Where C is…

Q: Solve the following integrals with detailed steps: dx a. x²V4+x2 dx (4-x²)7 b.

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Q: Evaluate the definite integral. Si f (æ) dæ, ƒ (x) =47–(7x³+ 13)/x?

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Q: Provide an appropriate response. Given fx) dx = 4 and g(x) dx = 2. use properties of definite…

A: We have to solve the integration

Q: x² 2 :(a² + x²)ž + C 3 15 1 |x*(a² + x?)¿ dx = -

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Q: What is the value of the definite integral (2a + 5a? - 2x – 9) dx? Enter your answer as an exact…

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Q: Explain why the following integral is improper and then evaluate the integral. x2 2 dx Хе 8.

A: Here we use Fundamental theorem of calculus to solve the given integral.

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

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Q: -2t +8 What is the value of the definite integral dt? Enter your answer as an exact fraction if…

A: The given integral is ∫19-2t+8tdt. Evaluate as follows.

Q: Given that [²x²x 1/3 dx = Need Help? Read It use this fact and the properties of definite integrals…

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Q: Recall that the constant term, C, cancels out when evaluating a definite integral and therefore, the…

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Q: (x S+ 3x? - 4 ) dx 12

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Q: dx c1 16. 21 1)

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Q: Given that x dx = b² – a² , use this result and the fact that cos(x) dx = 1, together with the…

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Q: St 15x(x + 1)(х- 1) dx s(x* +) dx .4 8.

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Q: 2 dx 2 4 + x?

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Q: . Evaluate the following. Use only the rules and techniques of integration presented in the module.…

A: As per guidelines we have to solve one question Please repost the other questions again

Q: Using trigonometric substitution, the integral -dx would result to M 9-x2 N?dt,what is M and N? (N…

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Q: The indefinite integral is given below. ∫(3x3+5x2−23x−45)/(x2−9) dx The expression can be parsed…

A: given,       and this expression can be parsed as,       we have to find value of a, b, c and d.…

Q: Evaluate the following integrals: Show CLEAN AND CLEAR solutions also indicate what rules/formulas…

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Q: Evaluate the following integral. -0.8x dx 3 e S. -0.8x dx = 3 e (Use C as the arbitrary constant.)

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Q: dx 4ах

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Q: What is the value of the definite integral | (3t2 – t- 6) dt? Enter your answer as an exact fraction…

A: Given,           ∫-133t2-t-6dt

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: Find the Indefinite Integrals below (Show all work, and DO NOT simplify your answer). (x + 4)² csc?…

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Q: Evaluate the following integrals. When using substitutions, be show to show them explicitly. a) + 5…

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Q: What is the value of the definite integral ∫ 2 0 (2x3+5x2−2x−9) dx

A: The question has not been provided in proper mathematical format. The limits of integration are…

Q: Match the definite integral to the correct evaluation. 9. S12/xdx 4 9. 180 xp- A. 152 4 В. 340 С. 25…

A: TO FIND THE FOLLOWING DEFINITE INTEGRAL 1 ∫4912X dx 2 ∫4  9 180x2 dx 3 ∫056x2+10x-7 dx 4…

Q: Use substitution method to find the indefinite integral: ∫3x^2/(4+x^3)^6 dx. Answer in this form:…

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Q: 10. What is the value of the definite integral ∫91−3t−7/√t dt? Enter your answer as an exact…

A: Obtain the value of the definite integral as follows.

Q: x² dx V(a? – 8)5

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Q: Evaluate the following integral. x2 dx V1- 144x x2 dx = V1-144x? (Type an exact answer. Use…

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Q: Q2/Find the value of the integral ²: by using simpson method (n = 6)? dx 1+x²

A: Let's solve given integration by using simpson 1/3 method.

Q: Find the indefinite integral. Jtan' (플) sec? 3 ( TX (플)da 2

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Q: Find the definite integral c2 2127 dx z13z2 1

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Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.