4x — 4х — 3 dx

Q: Use properties of the integral and the formulas in the summary to calculate the integrals.

A: Given, ∫046t-3dt To solve the above integration.

Q: Evaluate the integral. xe dx NOTE: Enter the eract answer.

A: Find your answer below

Q: Evaluate the integral. x* In(x) dx =| NOTE: Enter the exact answer.

A: We evaluate the given integral

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. dx VTe(26/a)

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Q: Evaluate the integral. -2x. + C dx NOTE: Enter the exact answer.

A:

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. 9e dx 1+e2=…

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Q: Sdr +a

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Q: 1 dx J Vx² + 2x + 5

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Q: Evaluate the integral. 11 dx Select one:

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Q: Use the table of integrals at the back of the text to evaluate the integrals ∫x tan-1 x dx

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Q: Evaluate the integral. e l/x5 xp

A: use substitution method foor solving such integral.

Q: Find or evaluate the integral by completing the square. (Use C for the constant of integration.) dx…

A:

Q: Complete the table to find the indefinite integral.                                   Original…

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Q: Use substitution techniques and a table of integrals to find the indefinite integral. न et (4+ e*)…

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. 8 dx +C –…

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. 19e" dx 1+…

A: Please see the answer below.

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. 4x²e" dx = +C

A: Given:          ∫4x2ex3dx         =4∫x2ex3dx substitute u=x3→dudx=3x2                     dx=13x2du…

Q: 1 (h) | (4a2 +9)² dx (1) / 22 — а? dx

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Q: 5. fe de

A: Dear student, as per our rule in one session we can only solve one question. Please post the other…

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. dx +C

A:

Q: Use a table of integrals to find the indefinite integral

A: Consider the given integral ∫ex1-e2x32dx

Q: Use a table of integrals to evaluate the definite integral.

A: Let the given integral be y - y = ∫012x3ex2dxy = ∫01x2ex22xdxLet,t = x2Differentiating on both sides…

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. [e³ 34x dx =…

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. dx 4 +C (2 –…

A: Substitute the denominator and simplify then integrate.

Q: Evaluate the integral.

A: The given integral is ∫1+ex2exdx.

Q: Use a table of integrals to find the indefinite integral ∫ 1/ t[1 + (ln t)2] dt

A: Rewrite the given integral as shown below: ∫1t1+lnt2dt=∫1t1+ln2tdt

Q: Use the table of integrals at the back of the text to evaluate the integrals ∫x dx/√x - 2

A: Given Integral is., I=∫xx-2dx

Q: Evaluate the integrals

A: Integration is summation of discrete data. The integral is calculated for the functions to find…

Q: 03: Evaluate the following integrals: (5) √cotx.csc4 x dx

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Q: Use the Table of Integrals to evaluate the integral. (Use C for the constant of integratio 30r 15e…

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Q: 00 dx Evaluate the improper integral if it exists The improper integral dive

A: Its is an improper integral

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. 4 dx = +C (1…

A: Given:         ∫41-2x6dx     =4∫11-2x6dx substitute u=1-2x→dudx=-2             dx=-12du…

Q: Evaluate the integral. Enter the fully simplified answer with no fractions under the square root and…

A: Given: I=∫dxx236x2-25 for evaluating given integral, first we take out x2 from square root so,…

Q: Evaluate the integral, using the formulas in this table. 1   07x dx

A:

Q: Use the Table of Integrals to evaluate the integral. 6 1 dx X 4x 7 Select the correct answer. The…

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Q: 1 dx 1+Vx

A: Explanation of the answer is as follows

Q: Use geometry and properties of integrals to evaluate the followingdefinite integrals.

A: Given

Q: Evaluate the integral. In(x) dx NOTE: Enter the exact answer.

A: Topic  = Integration

Q: Use the table of integrals at the back of the text to evaluate the integrals ∫dx/x√x - 3

A: To evaluate the integral: ∫1xx-3dx. Let substitute u=x-3 dudx=12x-3dx=2x-3du Substituting the value,…

Q: Evaluate the integralS, V1 – x² dx. Note: Retain T and any fractions in your answer if applicable.

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Q: Evaluate the integral using an appropriate substitution NOTE: Enter the exact answer. dx +C

A: Topic = Integration

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. lr – 10)° dx…

A: This is a simple question based on the topic integral by substitution which could be solved using…

Q: Use the table of integrals at the back of the text to evaluate the integrals ∫x√(2x - 3) dx

A: Given: ∫x2x-3 dx To find: Value of the integral.

Q: dx Find the value of the integral 14² by using simpson method (n = 6)? 를

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Q: Use the Table of Integrals on Reference Pages 6–10 toevaluate the integral. integral e t  (sin a t -…

A: Given integral is ∫etsinαt-3dt

Q: Use the Table of Integrals on Reference Pages 6–10 toevaluate the integral. integral    x sin (x  2…

A: Given integral is ∫ xsinx2cos3x2dx. Consider u = x2. dudx=x2'du=2xdxdx=du2x Substitute u = x2 and…

Q: Find or evaluate the integral by completing the square. (Use C for the constant of integration.) dx…

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. 12e 1 + ²x |…

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Q: 14. (2x + 1)³ dx

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

Q: Find or evaluate the integral by completing the square. (Use C for the constant of integration.) 10x…

A:

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.