The improper integral fx dx is

Q: 7x2 V2x3 - 1 dx .2.

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Q: Evaluate the integral. er HEAD ² y³ In(x) dx, y> 0 ind

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Q: Evaluate the integral. 16 In(y) dy Vy

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Q: Evaluate the integral.

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Q: Integration in REVERSE ORDER

A: Given:

Q: The integral S dydx represents what?

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Q: Evaluate the improper iterated integral. x2 dy dx 1 + y?

A: The solution is given in the next step.

Q: Evaluate the integral. 7y 1-7y dy

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Q: Evaluate the integral  dx*(csch(3x))^2

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Q: Compute the integral dx.

A: As we know that ∫xmdx=xm+1m+1+C see below the answer and calculation

Q: Calculate the iterated integral. dx

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

Q: Evaluate the integral. dx xVx² + 3

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Q: Evaluate the itorated integral. 24 ,xty *ty dx dy

A: First we need to calculate integral with respect to x then y

Q: Evaluate the improper integral

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Q: Evaluate the integral. ∫t3  et dt

A: ∫t3  et dt  We need to evaluate the integral.

Q: Evaluate the iterated integral. 1. 7zeX dy dx dz - 0/

A: According to limit, first we integrate with respect to y then put x7 = t then solve it.

Q: calculate the integral.

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Q: Evaluate the integral

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Q: Evaluate the integral. y In(x) dx, y > 0

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Q: Evaluate the integral. zp zul s)

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Q: Evaluate the iterated integral.

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

Q: Evaluate the improper iterated integral. 1/x5 y dy dx

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Q: Evaluate the integral.

A: Given, ∫49lnyydyLet, I=∫49lnyydy Integrate by parts we get,…

Q: Evaluate the integral: + 6 dx = %3D

A: Find the integral by using substitution method

Q: Evaluate the integral 'In (Inz) dz X

A: Note: instead of x there should be z in denominator otherwise x behave likes constant.

Q: | 7x2 V2x3 - 1 dx

A: Here the given integration I=∫7x22x3-1dxNow Substitute as2x3-1 =u⇒6x2dx=duThus the integration…

Q: Compute the following improper integral. dx

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Q: Jy cosy smy dy 3

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Q: Calculate the integral ∫6e^xdx

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Q: Evaluate the integral.

A: We have to evaluate the integral: ∫x3xx2+3y2dy Here we have to integrate with respect to y so x2…

Q: The improper integral 3dx is /1->

A: Given:⇒∫013dx1-x2⇒3∫11-x2dxWe know that ∫11-x2dx=sec-1(x)

Q: By using u = In x, evaluate the integrals In x dx.

A: ∫x-1xlnx dx Now put, u=lnx⇒dudx=1x⇒du=1x dx

Q: Evaluate the iterates integral: S, (x- y) dy dx

A: By integration property

Q: Evaluate the iterated integral. (8x – 2y) dy dx

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Q: fx'e*dx

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Q: fx'e* dx ets

A: To evaluate:                     ∫x2 ex3 dx

Q: he integral dx こ [in(x)]? x[In(x

A: Given integral is ∫1x(1nx]2dx let’s find the value

Q: Evaluate the integral. dy y4 – 16

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Q: Approximate the integral | dx using 4 trapezoids .2 1

A: Introduction: The formula for the trapezoidal rule is given by, ∫aby(x)dx=h2y0+yn+2(y1+y2+...+yn-1)

Q: rtoo Е. re dx स०२२

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Q: dx ト メ

A: Method of substitution is used

Q: Evaluate the improper iterated integral. 9. x2 dy dx 1 + y?

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Q: Evaluate the triple iterated integral. xyz dx dy dz

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Q: Evaluate the double integral : re dy dx 4

A: Given,          ∫1e∫467xdydx

Q: Evaluate the improper integral : 6be 8z" dx

A: Note: As per our guideline we are supposed to answer only one question. kindly repost the other…

Q: Evaluate the integral. Sóx(In x)*dx 2 5x (In x =xp, dx:

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Q: Evaluate the improper integral : (* 6xe-3x°, dx

A: We need to evaluate the following improper integral I = ∫-∞∞6x5e-3x6dx…