Evaluate the integral by making the given substitution.  x^5/ (x^6-7), u=x^6-7

Q: Evaluate the integral in terms of the constan

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Q: Use Trig Substitution. integral of x^2/sqrt 9-x^2.

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Q: Evaluate the integral

A: Using rules & formulas of integration.

Q: Find the integral by using substitution

A: Let's make the substitution sin πx = z;Hence, πcos πx.dx = dzHence, cos πx.dx = dz / πPlease see the…

Q: Evaluate the integral.

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Q: eV3x+9 dx

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Q: Give a geometric argument that explains why the integrals have equal values.

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Q: State the Comparison Theorem for improper integrals.

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Q: Evaluate the Integral

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Q: Find the indefinite integral of xvx+60

A: Evaluate the integral as follows.

Q: 4Vx + 2xVxdx X

A: ∫xn dx = xn+1n+1+C ∫af(x) dx = a∫f(x) dx

Q: Use correct notation to evaluate the improper integral or say that it diverges. S xedx -00

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Q: What substitutions are sometimes used to transform integrals in-volving sqrt(a2 - x2), sqrt(a2 +…

A: Formulas for the given type of forms is shown below:

Q: Use substitution to find the indefinite integral.

A:

Q: Evaluate the integral:

A: To evaluate: ∫01ex+e-x2dx

Q: Find the integrals.

A: Answer and explanation is given below..

Q: Evaluate the integral using integration of rational fractions: 10dx 4x3 – 4x2 + 5x -

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Q: Evaluate the indefinite integral. fzarctan(3e)da

A: This integral contains two different types of function multiplied together, so we will use by parts…

Q: evaluate the integral.

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Q: evaluate the integral

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Q: Find the integral ∫sec4xdx.

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Q: Use the formal definition of the definite integral (page 378) to find the exact

A: Let the given integral be - yy = ∫-13x2+3xdxy = x2+12+1+3x1+11+1-13…

Q: evaluate the indefinite integral.

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Q: Evaluate the integrals.

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Q: .4 25+4x10

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Q: Evaluate the ff integral

A: We have to find the given indefinite integration

Q: Determine the indefinite integral. In x 3x

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Q: Evaluate the integral by the substitution rule

A: We have to evaluate the integral by the substitution rule…

Q: Integrate.  integral of x+2/sqrt (4-x^2)

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Q: Determine the integral by quadratic functions: ∫10x/4x^2-8x+9 dx

A: Given :                   ∫10x4x2-8x+9dx

Q: Evaluate the integ de x"+ 4

A: Solving the problem by doing the integration.

Q: Evaluate integral

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Q: Jaz - 6.

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Q: Evaluate the integral of x³dx 1- 4x2

A: NOTE: Refresh your page if you can't see any equations. . .............(1) take  . ............put…

Q: Evaluate the indefinite integrals. 3x(4x-1)7dx

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Q: sqrt(25-x4)/x3

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Q: Evaluate the integral of (2x-3)/(x3+3x)

A: Indefinite integration

Q: Evaluate the integral by long dvidion.. 3x'+8x-4dx X-2

A: To solve this question we will first apply the long division method.

Q: Evaluate the integrals that converge: ∫03 dx/(sqrt(3-x))

A: Evaluate the integral.

Q: evaluate the integrals by substitution method

A: I =∫x2x+1 dx

Q: -2x dr

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Q: Evaluate the improper integral x3

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Q: integral of tanxsecx^3x

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Q: 1 dr. (x- 2)3 -1

A: According to the problem, we have

Q: 3x* +5x-8 lim 5x' – 7x+2

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Q: Calculate the integral   ∫2x^5dx

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.