x? Use the residues to evaluate the improper integral: -dx . (x² + 1)(x² + 4)

Q: y'dy Evaluate the correct integral of Vy?+4

A:

Q: Approximate the value of the integral by use of the trapezoidal rule, using n 8. 11 121-x dx

A:

Q: Evaluating the integral f In(r³)dx, where x > 0 yields:

A:

Q: r? + I dx

A: NOTE: Refresh your page if you can't see any equations. . ................(1) substitute…

Q: Evaluate the iterated integral. NOTE: Enter the exact answer. x dz dy dx -6+x²+y?

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Q: For the integral xe2x) dx what is u? Note: no space between symbols in your answer

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Q: Use the indicated substitution to evaluate the integral.

A:

Q: Evaluate the integral :(x² + y* )dzc>xcy = ?

A:

Q: Q6 // Using the Simpson's rule for multiple integrals, evaluate the following integral; I Vx + y) dx…

A: The given integral is:

Q: ** Using the substitution y=x, the integral eln24 evx dx is the same as or equal to

A: Integration is summation of discrete data. The integral is calculated for the functions to find…

Q: 1e uex dx (3+x²)5/2 x3 Ue be

A: ∫03x33+x252 dx Consider, ∫x33+x252 dx Put, x=3 tanθ⇒1=3 sec2θ·dθdx⇒dx=3 sec2θ dθ Therefore,…

Q: Using an appropriate substitution, 8tan-1x the integral J dx equals: 1+x2

A:

Q: Consider the triple integral I - f L, S dzdydx. The value of I is:

A: In this we have to integrate this triple integral problem three times with respect to z, y & x

Q: Evaluate the integral х3 dx x2 +49 х3 dх x2 +49 (Use C as the arbitrary constant.)

A: We substitute x^2+49=t, then the given integral become

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) -6x…

A: To evaluate the integral by making the given substitution. ∫e-6x dx, u = -6x

Q: a) Evaluate the integrals using appropriate substitutions. dx Sino i)S i) f de Cos? 8+1 1+16x2

A: as per our guidelines I am solving only first question with both parts a(i) ∫dx1+16x2ii ∫sinθcos2θdθ

Q: J xe*dx Evaluate the improper integral:

A: Given: I=∫1∞xe−xdx

Q: Express the integral in terms of the variable u, but do not evaluate it. el0 In x dx; = In x U = e5…

A: We need to express integral in terms of u.

Q: х? +2 dx x +1

A:

Q: Q32] evaluate the Cauchy principal value of the given improper integral. x2 dx (x² + 1)²'

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Q: Evaluate the integral by using the substitution u = 1 + e*. 1 – e* %3D dx 1+ e*

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Q: 4y?-25 dy 3. y f

A:

Q: Sx²e2x*dx `x²e?

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Express the integral in terms of the variable u, but do not evaluate it. rell In x dx; u = In x %3D…

A:

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. dy V12y +1 +C

A: we need to evaluate the integral :

Q: b. In each part, evaluate the integral, given that (2x, f (x) = x 1 12, i. Lf(x)dx. ii. i f(x)dx.

A: Since f is an piecewise function therefore we need to divide integral limits in parts and pieces to…

Q: Use quadrature formula [f(x) dx = c f(0)+c₁ f(x) to approximate the value of the integral [x² In x…

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Q: Express the integral in terms of the variable u, but do not evaluate it. rel6 In x - dx; u = In x e9…

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. dy /2y + 1 +C

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Q: V3 2 dy 1- у?

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Q: x dx Evaluate the improper integral by using a suitable substitution. x4 + 49

A: To evaluate the improper integral by the suitable substitution.

Q: L? + 1)? dx evaluate the Cauchy principal value of the given improper integral. x? (x² + dx 1)?

A:

Q: Consider the integral dx x . Using u-substitution, what is an appropriate u and du? -2x 2e

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. [e³ 34x dx =…

A:

Q: 1. S dx x² Vx2+4

A: In this question we will use basic of calculus i.e concept of integration. We will simply integrate…

Q: Evaluate the integral. V16-a? 1 dy dx dz = -V16-x2 (x2 + y?)1/2 -4.

A: We can solve as follows

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. dy V6y + 1 +C

A:

Q: 2y-ya Evaluate the integral 12 + y?dzdydr by using cylindirical coordinates.

A: Let z = z , x = r cos(theta) , y = r sin(theta).

Q: Evaluate the integral using an appropriate method. J = 3 22+5+6 dx

A:

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

A: We have to solve the problem

Q: Use the substitution u = x + 6 to evaluate the indefinite integral below. 6. dx Write the integrand…

A: Consider the indefinite integral  ∫2xx2+66dx

Q: Use the trapezoid rule to approximate the following integrals: (using n = 4 subintervals) a.…

A: We have to find the integral using trapezoidal rule for n=4. I=∫02(2x3+3x2-1x)dx

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. dy V10y+1 +C

A:

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

A: To solve the integration uisng substitution method

Q: Evaluate the integral F(= - 0)"dz, (x³ by making the appropriate substitution: u = P(* - 0)"de -…

A: NOTE: Refresh your page if you can't see any equations. . ...............(1) substitute…

Q: x dx xª + 49 Evaluate the improper integral by using a suitable substitution.

A:

Q: Evaluate the integral   ∫∫R sin(x2 + y2)dA,   where R={(x, y)|-1√(1-y2 )≤ x ≤ 0, -1 ≤ y ≤ 1}

A: Evaluate the integral∫∫Rsinx2+y2dAwhere R=x,y/-1-y2≤x≤0 and -1≤y≤1

Q: Evaluate the integral. (Use C for the constant of integration. 27t sec2(t2) tanª(t²) dt

A: The given integral,∫27t sec2t2 tan2t2 dt

Q: Is the integral formula correct? Sxsinx sin x dx = - xcos x+ sin x+C

A: