y = f(x) 2 3 Area=5 Find the definite integral | 2f (x)dx =?

Q: Evaluate the integral. (Use C for the constant of integration.) (x2.8 + x-1.2) dx

A: Power rule

Q: valuate the indefinite integral. (Use C for the constant of integration.) dx

A:

Q: Find the cost function for the marginal cost function. c'(x) = 5x 6 10 units cost $215.53 Write the…

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Q: Find the indefinite integral. x(x+5)dx |Vax + 5)dx=| (Use C as the arbitrary constant.)

A: Given integral

Q: Find the indefinite integral. (Use C for the constant of integration.) fo (7 x) dx Evaluate the…

A: We know, ∫xn dx=xn+1n+1+C∫a dx=a∫dx=ax+C, where a is constant.

Q: Use integration by parts to find the indefinite integral ∫x e1-x dx

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Q: \ rV 25 – x2 Evaluate the indefinite integral. dx -

A:

Q: Use integration by parts to find the integral. (Use C for the constant of integration.)

A: Consider the provided integral,

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) a + bx5 dx V 6ax + bx6

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Q: integral from 0 to 2 if (x^2 dx) / (x^2 + 4)^2

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Q: 3. Find the indefinite integral. (Use C for the constant of integration.) Ssin(3x) cos(3x) dx

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Q: Sx² 2 3 dx

A: SOLUTION-

Q: 1 x2 1. Calculate an approximate value of the integral , dx by dividing the 1+x3 interval into 4…

A: Given function is, ∫01x21+x3

Q: Find the general indefinite integral. (Use C for the constant of integration.) | (x1.3 + 9x3.5) dx

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Q: xe dx 2 (1+x) ²

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Q: integral (dx/(√(x)+x))

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Q: Find the general indefinite integral. (Use C for the constant of integration.) (x1.8 + 7x2.5) dx

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

Q: Find the indefinite integral. (Use C for the constant of integration.) ーx)3(2 - x) dx

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Q: xe* The only way to find / dx is to use integration by parts. (x + 1)2

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Q: valuate the indefinite integral. +V2x dx 3x

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Q: (x²–3)dx refer to f x-2 What is the integrand of the given indefinite integral?

A: An Integrand is a function that you want to integrate.                         ∫ F(x) dx = F(x)…

Q: (x2 + 7)(x1/2 − 7) dx

A:

Q: Find the indefinite integral. (Use C for the constant of integration.)

A: The given integral is,

Q: Find the indefinite integral. (Use C for the constant of integration.) cos 5 t dt COS V sin t

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Q: Find the general indefinite integral. (Use C for the constant of integration.) (x1.7 + 9x3.5) dx

A:

Q: valuating the integral dx J0 x+9

A: Given integral is:            ∫04 xx+9dx

Q: integral from 2 to 3 of (x^3 - 2x) dx / x-1

A:

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) a + bx5 dx 6ax + bx6

A: Given the following integral:

Q: Find the indefinite integral. (Use C for the constant of integration.) 1 dx 4x2 – 1 XV

A: We have to determine integral

Q: One of the correct. steps to evaluate x²inx. x²Inx dx to yield the correct integral (A dx x2Inx B x³…

A: The given integral,     ∫x2lnx dx

Q: integral from 0 to 1 of square root of (1- square root of x) dx

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Q: dy cosh x dx + y sinh x = 2 cosh x sinh x

A: We will find out the required general solution.

Q: Find the indefinite integral. (Use C for the constant of integration.) x* + x – 25 dx x2 + 5 1 3 -…

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) a + bxº dx V 10ax + bx10

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Q: (2) secxtanxdx e definite integral by substitution: -21 1- (2) dx (3) [x√x-2dx

A: We have to find the value of the given definite integral according to the given information

Q: a).Find  dy/dx where y=1/2 sinh (2x +1). b).Evaluate the integrals ∫4cosh(3x -ln 2)dx.

A: The following formulas are used for hyperbolic sine and cosine functions. sinh x=ex-e-x2cosh…

Q: Find the indefinite integral:  ∫ x (x - 8)1.5 dx. Hint: Use Integration by Parts.

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Q: Find the indefinite integral. (Use C for the constant of integration.) 8 zp zV 49z2 - 25 2 49x – 25…

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Q: Find the indefinite integral. (Use C for the constant of integration.) -5 dx (x² + 5)3/2

A: By using trigonometric substitution and Pythagoras theorem we calculate the given integral. See the…

Q: integral of (x^2+1)dx/(x^2+5x+6)

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Q: 7. Evaluate the integral. (Use C for the constant of integration.) √x² - 25 x² - dx

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Q: wing integrals: 7.S In x x√4 lnx-1 dx 18.f ex 3-4e2x dx

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Q: Evaluate the integral. cost dt sin n² t - 5 sin t + 4 Select one:

A: We will substitute sint=x, then we will do partial fraction.

Q: 2) Perform the integration dx i) S x/1-(In x)² dx ii) S 4e2x-1 Find th doriuotiuo

A: As per bartleby guidelines we only give first questions answers.

Q: integral of x ln(x+1)

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Q: 5 dx. V1– x² 20. Evaluate the indefinite integral /

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Q: Evaluate. S*+ 2y)dx dy 3.

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Q: valuate the indefinite integral 23 dx x4 + 4 + C

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Q: valuate the indefinite integral. ∫9sin^5(x)cos(x)dx

A: Given that the integral we need to evaluate that  integral. let I=∫9sin^5(x)cos(x)dx let us…

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) y²(5 – y³)2/3 dy

A: Let I = ∫y2(5 - y3)2/3 dy   I = ?

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.