State the trigonometric substitution you would use to find the indefinite integralSingle choice. integral of x^2 ((25-x^2)^(3/2) 0 dx choices x=5costheta x=5tantheta x=5sectheta x=5sintheta

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Q: x2 dx Given that use this fact and the properties of integrals to evaluate (4 9x2) dx

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A: To find the following indefinite integration.

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Q: ollowing integral by using Trigonometric substitutions Method: dx y = V4 + 25x2 ーマ

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Q: Use the method of substitution to find the indefinite integral. Check your result by…

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Q: Find the indefinite integral. Check your result by differentiating. (Use C for the constant of…

A: Given that: ∫19x5dx

Q: indicate a good method for evaluating the integral (but do not evaluate). Your choices are:…

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Q: indicate a good method for evaluating the integral (but do not evaluate). Your choices are algebraic…

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

A: we know that we use different trigonometric substitution for different function as given below…

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Q: x2 dx use this fact and the properties of definite integrals to evaluate (3 - 3x2) dx. Given that…

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Q: Use a table of integrals to find the indefinite integral. (Remember to use absolute values where…

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Q: 5 dx 2x + 5

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Q: Find the indefinite integral using the substitution x 3 sin(0). (Use C for the constant of…

A: Given,            ∫19-x232dx

Q: indicate a good method for evaluating the integral (but do not evaluate). Your choices are:…

A: First we have to complete the square inside the square root

Q: Use the Table of Integrals on the Reference Pages toevaluate the integral.

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Q: Use a change of variables of the table to evaluate the following indefinite integral. The integral…

A: In order to integrate the given function, substitute u = cos x and so du = -sin x dx.

Q: alculate the given integral. Leave your answer in exact form (do not use calculator): 6. dx 1

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Q: (100 + x2)-6 dx x(0) =

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Q: Use the Trapezoidal Rule and Simpson's Rule to approximate the value of the definite integral for…

A: Consider the provided question, First find the given integral by using the Trapezoidal rule,

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

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Q: Find the indefinite integral using each method. (Use C for the constant of integration.) x³ √ √ 3 +…

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Q: Find the indefinite integral. Check your result by differentiating. (Use C for the constant of…

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Q: 2(x² - 64)3/2 dx x(0) =

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Q: Find the Indeftnite Integral and check the result by differentiation. (5x) Step 1 To obtaln the…

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Q: a) : dx 1-ex

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Q: Use a table of integrals to find the indefinite integral. (Use C for the constant of integration.)…

A: We will integration by parts method to solve this.

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Q: Evaluate the integral using trigonometric substitution. When possible, your answer should not have…

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Q: Find the most general antiderivative or indefinite integral. Use a capital letter C to denote an…

A: ∫ dx/(1-x2)sin-x lets substitute u = sin-x du/dx =1/(1-x2) du = dx/(1-x2)  ∫ du/u = lnu + C put u =…

Q: x2 dx use this fact and the properties of integrals to evaluate (4 – 9x2) dx. Given that

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Q: Find the indefinite integral. Check your result by differentiating. (Use C for the constant of…

A: The given integral is ∫x(9-7x2)5 dx

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A: The given problem is solved below in detail.

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Q: 3x2 dx x3 COS xesinx -5 a) b) dx c) 4x dx esin a X-4 1 /n

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Q: Evaluate the integral using Integration by Parts as a first step. sin' (x) dx 6x² (Express numbers…

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Q: Evaluate the integral by any method. NOTE: Enter the exact answer. V5 dx 3+ x4

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Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

A: The given integral is,

Q: Use the method of substitution to find the indefinite integral. Check your result by…

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Q: Find the indefinite integral. Check your result by differentiating. (Use C for the constant of…

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Q: Evaluate the integrals. It may be necessary to use a substitution first. ∫ 2x3 + x2 - 21x + 24/x2 +…

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Q: Use the Table of Integrals to evaluate the integral. (Remember to use absolute values where…

A: we have been given the integral ∫dx5x3-8x2 simplifying the expression we get ∫dxx2(5x-8)

Q: x2 dx (4x³ + 7)²

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Q: Find or evaluate the integral by completing the square. (Use C for the constant of integration.) 1.…

A: The given integral is  I=∫1-x2-10xdx

Q: indicate a good method for evaluating the integral (but do not evaluate). Your choices are:…

A: Given: To Show: A good method to solve the above integral from the choice: Substitution Method…

Q: indicate a good method for evaluating the integral (but do not evaluate). Your choices are algebraic…

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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.