Evaluate the integral. (Use C for the constant of integration.) | 3z3e? dz

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

A: Integrate the given integrand x/x4+2x2+2 by completing the square method

Q: 3tan a sec? x dx (4+3tan=)* 2

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Q: 5. If a and b are positive constants, evaluate the following integrals: ,-bx e-ax -e -dx; (a) (b)…

A: The objective is to evaluate: ; where a and b are positive constants.

Q: f1+z+² /1+z+z? + 3z*dz

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…

Q: 3x?e³+x? + 2xe *°+x² dx

A: SINCE YOU HAVE ASKED MULTI PAL QUESTIONS IN SINGLE REQUEST , WE WILL BE ANSWERING ONLY THE FIRST…

Q: r3 ex dx = e3 – e '3 Use the properties of integrals and | (2ex – 2) dx to evaluate

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Q: Evaluate the integral: ∫6/[(x+a)(x+b)]dx for the cases where a=ba=b and where a≠b.a≠b. Note: For…

A: The integral, ∫6x+ax+bdx.

Q: aluate the integral. (Use C for the constant of integration.) -- cos(50) de

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Q: Evaluate the integral. 1 -dx J-3 (x + 6)(x² + 9) Answer:

A: Ans = 0.07456 First do the partial fraction so that it can be integrate simply as I have done in…

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

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Q: Evaluate the integral. (Use C for the constant of integration.) S. x² – 16 dx x3

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Q: x/1 - x² dA; R = {(x, y) : 0 < x < 1, 2 < y < 3}

A: The double integral ∬Rfx, ydA is can be written as ∬Rfx, ydxdy. We have given the region R=x, y :…

Q: T 11x + 29 dx The integral is equal to

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Q: Evaluate the integral. x sec? (7x) dx + C

A: We have to find integral.

Q: Express the integral in terms of the variable u, but do not evaluate it. e14x-13 dx; и — 14х — 13…

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Q: Find the general indefinite integral. (Use C for the constant of integration.) / (u6 – 2u5 – u?. du

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Q: Use integration by part to find: (x+2)e²*d

A: We have to evaluate the given integral using integration by parts.

Q: -1 0 -t³+1 2 3+² e dt

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Q: te the integral. (Use C for the constant of integration 21x-5 dx

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

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Q: Use either integration by substitution x² +1 S x³+3x+5 dr given that A-5 and B=7 Give your answer to…

A: We need to evaluate the following integral ∫ABx2+1x3+3x+5dx, A = 5 and B = 7

Q: Use integration by substitution to solve the integral below. Use C for the constant of integration.…

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Q: Make a substitution to express the integrand as a rational function and then evaluate the integral.…

A: Given:

Q: Evaluate the integrals. Simplify your answers. dx J4/3 4x+vx³

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

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Q: (c) Reverse the order of integration, and evaluate the integral. 4. f * 4- dydr 5. o SJEjs e dydr

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Q: Evaluate the integral. (Use C for the constant of integration.) | sz?e" dz

A: ∫5z3ezdzusing integration by part ∫fxgxdx=fx∫gxdx-∫dfx∫gxdxdxNow,…

Q: Evaluate the integral. (Use C for the constant of integration.) ∫(36dx/ (36 + e^x))

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Q: Evaluate the integral. (Use C for the constant of integration.) fa.5* + 9*) dk (1.5× + 9*) dx

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Q: state what method applies and how one applies it, but do not evaluate the integral:

A: Degree of the numerator =2 Degree of the denominator = 1 Since the degree of the numerator is more…

Q: Solue the integral equation by eliminating the Integral. %3D ya)=3+S(3t-3ty(1)) dt

A: To solve the given equation by eliminating the integral. Equation is: yx=3+∫1x3t−3tytdt

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

A: To find out the integral.

Q: x? dx (x² – 25)5/2

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Q: 1 dx ? %3D (x-1)3 8-

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

A: Consider the expression 3x2-2=u. The power rule of differentiation states that d dx(xp)=pxp-1, where…

Q: Evaluate 4.x sin(y?) y3 dydx. Hint: reverse the order of integration

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Q: Use the technique of completing the square to evaluate the following integrals. x- 6x Show your…

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

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Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) x3+…

A: Given integral is We will use the following substitution to evaluate the integral.

Q: First make a substitution and then use integration by parts to evaluate the integral. (Use C for the…

A: The given integral,       ∫9 sinlnx dx

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

A: Let I is the value of given Integral

Q: If a and b are positive constants, evaluate the following integrals: e -ax -bx (a) -dx;

A: Given : The integral  ∫0∞ e-ax - e-bx x  dx  where a and b are positive constants.   To determine :…

Q: 3. Which integral should be evaluated using substitution? 9dx (b) dx 1+x2 1+9x2 (a)

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Q: T² – 36 dz Evaluate the integral:

A: Given,          ∫4x2-36x4dx

Q: Evaluate the integral. (Use C for the constant of integration.) x³ + 9x² + 2x + 9 dx T Tx? + 1)(x² +…

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Q: Evaluate the integral. T/6 | 9 sec'x dx 2. п/6 |9 sec?x dx = 3/3 (Type an exact answer.)

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Q: d.x -x2-4x

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Q: Evaluate the integral. (Use C for the constant of integration.) e8x ex/2 dx

A: Explanation of the solution is given below...

Q: x" In x dx

A: Given: I=∫xnln(x)dx