Write as a single integral in the form f(x) dx: L f) dx + [* f(x) dx -[ ) dx

Q: Evaluate the iterated integral.

A: Given, ∫12∫13lnxydydxy To evaluate above integration.

Q: Evaluate the integral. inegral  0 to 1 [(2x+3)/(x+1)2 ]dx

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Q: Evaluate the iterated integral " SL* x² sin y dy dz dx .

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

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Q: Evaluate the iterated integral: xy'e-" dx dy

A: Here we evaluate the iterated integral

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

A: Given integral is: Using substitution and applying derivative:

Q: Evaluate the integral using Part 1 of the Fundamental Theorem of Calculus. 4x(1 – x² )dx = i

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Q: Calculate the iterated integral. dx

A: Value of the integral is (9/2)ln2  See below the explanation

Q: Evaluate the integral using tabular integration by parts. (3 x² – x + 1) e¬¤ dæ +C -

A: As per our guidelines we can solve only one question at a time. Please repost unsolved question…

Q: Evaluate the integral. inegral (5x +1 )/(2x +1 ) (x-1 ) dx

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Q: Evaluate the integral ,(1 – x – 4x³ + 2x³) dx a) Analytically b) Single application of trapezoidal…

A: we have  f(x)=1-x-4x3+2x5 we need to find ∫-24f(x)dx  a) analytically b) using trapezoidal rule

Q: tan (In |4x2|) -dx is b in cos (In |(2x)*|)|+c. The integral of What is b?

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Q: e2 In(x) da

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Q: In ly-y-cf dy

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Q: Evaluate the integral dx et – e-x

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Q: Evaluate the integrals in Exercises using integration by parts. 3. f cos t dt 4. * sin x dx

A: The formula for an integral ∫udv is uv-∫vdu. Here u function is selected on basis of ILATE order.…

Q: dx (1 – e²)² -1

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Q: x e* dx (1+х)2

A: Explanation of the answer is as follows

Q: Express the integral Js(x) dx in terms of Jo, J1 and J2.

A: Bessels function identity:  Jn+1(x)=2nxJn(x)-Jn-1(x) Given: ∫J5(x)dx

Q: Write as a single integral in the form 6 b [Fx f(x) dx f(x) dx. 5 -1 [²_f(x) dx + [³f(x) dx - [ ^_^…

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Q: Evaluate the iterated integral. V1- x8 dy dx

A: We have to find

Q: Find the integral of (x)(arctan x) dx,

A: Given: evaluate

Q: Evaluate the integral.  integral  sec 2 x  tan x  dx

A: Given: I=∫sec2xtanxdx for evaluating given integral, we substitute tanx=t…

Q: Evaluate the iterated integral.

A: The given integral is ∫01∫0y6x+5y3dxdy

Q: dx%3D 9+x²

A: Solution is given below:

Q: Evaluate the integral. ez dx

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Q: Evaluate the integral. inegral  1 / (x+a)(x+b) dx

A: 1x+ax+b=Ax+a+bx+b   →1 On simplification, we get ⇒1x+ax+b=Ax+b+Bx+ax+ax+b⇒1=Ax+b+Bx+aNow when x=-a,…

Q: Evaluate the integral. (Use C for the constant of integration.) х dx x2 + x + 3

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Q: Calculate the iterated integral x² ,3 sin x dy dx.

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Q: Evaluate the integrals in Exercises using integration by parts

A: Hello! thank you for the question but as per our honor code, we'll able to solve only the first…

Q: Sketch and evaluate the reverse integral 3. dy dz

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Q: Evaluate the integral. dx J2 (x² – 1)3/2 -Csc O

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Q: dx 1 Vx + x3

A: Answer

Q: Evaluate the integral using integration by parts x2 In (x)dx 1

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Q: evaluate the iterated integral.

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Q: x – x dx J 1+3x² – 2x3

A: Given, The integral ∫x2-x1+3x2-2x3dx  We have to evaluate the integral using substitution rule.

Q: evaluate integral of Ś t^2 ln(t) dt

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Q: Evaluate the double integral of the function over the rectangle cos(2x) sin(y) dA, R = 0, 0, 2.

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Q: Evaluate the integral, 00 xn+1e-a²x* Jn(bx)dx, a > 0, b> 0,

A: Bessel's function of first kind of order n, denoted by Jnx is defined as Jnx=∑r=0∞-1n22rr! γn+r+1x2r…

Q: sketch, reverse and evaluate the integral dy dx

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Q: Use Green's Theorem to evaluate the line integral of F (x°, 9x)

A: Given, the line integral of F=x3, 9x around the boundary of the parallelogram in the following…

Q: evaluate the iterated integral.

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Q: Using only the definition of RS-integral, evaluate x* d[x]. 0.

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Q: Evaluate the integral. e sec²(8x) dx %3D +C

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Q: intergrate the integral from 0 to 1 of (x^2 + x + 1)/((x+1)^2)(x+2)) dx

A: See the details solution in below

Q: Evaluate the iterated double integral JI-X² ( [√x² sin (x² + y²) dz dy dx

A: A a couple of imperative is a specific imperative of a characteristic of numerous actual variables…

Q: Evaluate the integrals ∫tan (ln y)/y dy

A: Given ∫tan(ln(y))ydy

Q: Evaluate the iterated integral by choosing the order of integration. 1 x + 3y xe* dy dx

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Q: ,3 x2+1 t – t2 dt In(x)

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Q: Consider the integral -4 dx x2 If the integral is divergent, type an upper-case "D". Otherwise,…

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