Evaluate the integral in terms of the constan

Q: Evaluate the inTegral by using Sultable Subetitution

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Q: Solve the integral

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Q: Evaluate the integral

A: Using rules & formulas of integration.

Q: x+4

A: We have to calculate the integral ∫xx+44dx

Q: evaluate the integral by interpreting it in terms of areas

A: The given integral is,

Q: Find the integral.

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Q: Evaluate the indefinite integral

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Q: Evaluate the integral or show that it is divergent.

A: Given: An integral

Q: Evaluate the integral by interpreting it in terms of areas.

A: Let the given integral be y - y = ∫-442x-16-x2dxy = 2∫-44xdx - ∫-4416-x2 dxy = 2∫-44xdx - ∫-4442-x2…

Q: Evaluate the integral.

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Q: Evaluate the Integral

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Q: Evaluate the indefinite integral.

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Q: Evaluate the integral: In a da

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

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Q: Evaluate the iterated integral. (a)

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Q: Calculate the integral ∫tan2xdx.

A: Using the Pythagorean identity  sec2x - 1= tan2x

Q: Evaluate the integral:

A: To evaluate: ∫01ex+e-x2dx

Q: Find the integral

A: To find- Find the integral ∫ex sinx dx     Concept Used-  Integration by Parts formula: ∫ u v dx = u…

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.

A:

Q: evaluate the integral

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Q: (x+3) dx x2 +2x +5

A: Perform integration

Q: Evaluate the integral by interpreting it in terms of areas. integral from -3 to 0 of 4+sqrt(9-x^2)

A:

Q: Evaluate the integral. ∫ tan2 xdx

A: Using pythagorean identity tan2x=sec2x-1

Q: Evaluate the integrals.

A:

Q: Which one is an improper integral?

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Q: Evaluate the ff integral

A: We have to find the given indefinite integration

Q: Evaluate the integral or state that it is divergent.

A: To evaluate the integral.

Q: Write down a standard integral formula for the indefinite integral of tan x.

A: I hope you are asking for the derivation of standard integral for tan(x).

Q: (x+2) dx 3-2x x2

A: Given integral is: ∫x+23-2x-x2dx

Q: Evaluate the integral using the methods covered in the text so far:                    ∫ sec2 θ tan7…

A: Given:                ∫sec2θ tan7θ dθ Apply u-substitution u=tan θ⇒du=sec2 θ dθ              =∫u7 du…

Q: Evaluate the integral or state that it diverges. 12 - 1

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Q: Evaluate the integral by the substitution rule

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

Q: Evaluate the integral da and other using asing sesidues any be applied method which to sobve this…

A:

Q: le

A: the given integral is: ∫dxx2+2x+5 we have to evaluate and simplify the given integral.   let the…

Q: Evaluate the integral using integrals involving quadratic expression

A: Known fact: ∫dxx2+a2=1atan-1xa+C

Q: find the integral

A:

Q: solve the integral

A: The explanation of answer as follows :

Q: Using only the definition of RS-integral, evaluate 0.

A:

Q: Use the form of the definition of the integral given in this theorem to evaluate the integral.

A: Topic:- definite integration

Q: Evaluate the iterated integrals

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Q: Evaluate the integral by long Division method, use four digits after comma: - 5x? + 8x – 4 dr x2 -…

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Q: Evaluate the integral | dar arcsin(x)

A: We have to evaluate the integral ∫arcsinxx2dx Use integration formula…

Q: Solve the integral.

A: ∫x5+3x2x2+2x+1dxExpand we get ∫x5x2x2+2x+1dx + ∫3x2x2+2x+1dx As by applying the Sum Rule:…

Q: Evaluate the integral.

A: Use partial fraction,

Q: Evaluate the integral by interpreting it in terms of areas. -8

A: Consider the following integral:

Q: Evaluate the integral by rewriting the integrand appropriately, if required, and applying the power…

A: To integrate ∫x8dx using power rule

Q: Solve the integral

A: