Use the graph of f(x) in the figure to find the following integrals. A (2) da = dx = -3 B. If the blue shaded area in the graph has area A, find the value of the following integral in terms of A. f(x) dæ: -1 Graph of y = f(x)

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Q: In the given equation as follows , use a table of integrals to find the indefinite integral:- See…

A: Given: I=∫excos−1(ex)dx

Q: Find the following indefinite integral. Use C for the constant of integration. VI + 3 V) dx Answer

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Q: e*dx 5.

A: topic - integration by parts

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Q: Find the indefinite integral. (Use C for the constant of integration.) 5 x/ 25 - (In x)? In(n1) 5…

A: The given integral,∫5x25-ln x2dx

Q: Evaluate the integral. dx (x – 4)(x – 7) - (Use symbolic notation and fractions where needed. Use C…

A: Solving the problem by finding the value of integral.

Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

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Q: Consider the indefinite integral- dx: (x5 +2)° This can be transformed into a basic integral by…

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Q: Consider the indefinite integral dx: (x² + 2)? This can be transformed into a basic integral by…

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Q: evaluate the integral in the form a sin(u(x)) + C for an appropriate choice of u(x) and constant a.

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Q: In the given equation as follows , use a table of integrals to evaluate the definite integral :-…

A: Simplification of the function helps to integrate the given function. The addition and subtraction…

Q: Find the general indefinite integral. (Use C for the constant of integration.) 9. 8x? + 4 + xp x2 +…

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Q: In evaluating the indefinite integral / sin x cos x d , the appropriate u – substitution and. the…

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Q: Use the specified substitution to find or evaluate the integral. (Use C for the constant of…

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Q: Find the indefinite integrals: (a) S dx x+1 + C. (b) S da = 23 x2+1 =

A: SOLUTION-

Q: Find the general indefinite integral. (Use C for the constant of integration.) |(u + 5)(8u + 5) du

A: First we expand the expression ∫(u+5)(8u+5)du=∫8u2+5u+40u+25du=∫8u2+45u+25du

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.)…

A: To evaluate the integral by making the given substitution

Q: In the following equation/s, find the indefinite integral :-   see the equation attached here

A: Given integral: ∫5+4x22dx We know that a+b2=a2+2ab+b2 ∫5+4x22dx=∫25+40x2+16x4dx

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) x'…

A: We calculate the given integral by substitution.

Q: Consider the indefinite integral 5x+6 dx: a) This can be transformed into a basic integral by…

A: Given ∫e5x+6 dxLet u=5x+6 →dudx=5→dx=15du

Q: 3 Si S(3x² + 9y²) dxdy

A: To Find:

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) sin…

A: see below the calculation

Q: For the indefinite integral V14+ x*dx, a good choice for a u-substitution is u = du = After making…

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Q: In the following equation/s, find the indefinite integral :- see the equation attached here .

A: Given: ∫t2t3+1 dt

Q: In the given equation as follows , use a table of integrals to find the indefinite integral:-   See…

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Q: Evaluate the integral. (Use C for the constant of integration. 9r15-r8 e

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Q: Evaluate the integral. (Use C for the constant of integration.) ∫ e4θ sin(5θ) dθ

A: we have to find the value of integral ∫e4θsin(5θ)dθ to find the value we use the formula ILATE which…

Q: s) Calculate the indefinite integral using Trigonometric Substitution. X [ dx +x²

A: This is a problem related to integral. Based on the trigonometric substitution we will answer the…

Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

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Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

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Q: Use substitution to change the integral into one that can be evaluated by a formula from geometry,…

A: Solution; Consider the given integral: I = ∫1e525-(ln x)2xdx Substitute ln (x) = u du = 1xdxwhen x =…

Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

A: We have to solve

Q: Find the indefinite integral. (Use C for the constant of integration.) xp x(In x8)9 1 + C g10in (x…

A: Please see below.

Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

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Q: Consider the indefinite integral æ · Vx* – 8 dx: This can be transformed into a basic integral by…

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Q: Consider the indefinite integral /a Væ* – 4 dæ: . - This can be transformed into a basic integral by…

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Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) |…

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Q: Evaluate the integral below so that the resulting antiderivative involves two terms and C. sin° x…

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Q: Evaluate the following integrals using Integration of Hyperbolic Functions. 14. S sech? ( Inx) dx…

A: Integration is the inverse of differentiation and we are going to use that concept here. Therefore…

Q: For example if your student id is 23054611, then y = 0.23054611. Calculate the value of the…

A: If [0, 1] is divided into 1001 intervals, then each interval has length: The intervals are: The…

Q: Evaluate the integral. (Use C for the constant of integration.) (5 + e) dx e

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Q: Consider the indefinite integral a3. Vx* + 5 dx: This can be transformed into a basic integral by…

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Q: Find the left end approximation for the area between the curve and the x-axis on the interval [0, 2]…

A: Here is the solution of the given problem.

Q: Find the indefinite integral ∫ dx / (4 + x)3/2 (a) using a table of integrals and (b) using the…

A: a) ∫dx4+x32 Apply u- substitution : u=4+x du=dx plug all this values in given integral and then…

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.)…

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Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) x2…

A: Let u=x^3 + 15 find du/dx and substitute in the integral.

Q: Use the Method of Substitution to find the indefinite integrals: t3et“ dt dx x VIn x

A: The given integral,a) ∫t3 et4 dtb) ∫9xln x4dx

Q: Find the indefinite integral using the substitution x = 4 sin(0). (Use C for the constant of…

A: To find the indefinite integral ∫116-x232dx