4 3 b. J 20(2x + 1)°dx 1

Q: Evaluate the integral below, where H is the solid hemisphere x2 + y2 + z² < 36, z 2 0. SSS#(7 – x² –…

A: To find the integral    ∫∫H∫7-x2-y2 dV where H is the solid hemisphere x2+y2+z2≤36, z≥0.

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

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Q: Find the integral S výy+9dy = ...

A: Explanation of the answer is as follows

Q: Approximate the integral to three decimal places using the indicated rule. c0.8 311 01 dx; Simpson's…

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Q: find the line integrals along the given path C. ∫C (x - y) dx, where C: x = t, y = 2t + 1, for 0≤ t≤…

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Q: Evaluate the given integral by making an appropriate change of variables. X - Y dA, where R is the…

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Q: Find the best order and evaluate the integral Sla x sec? xy dA; R = {(x,y): 0 < x < , 0<y< 1}.

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Q: Evaluate the following integral, where R is bounded by x= 1, y = 2x + 4, and y = -x- 2. y2 dA

A: Given: Region R is bounded by the curve x=1 , y=2x+4 and y=-x-2 The region R can be expressed as…

Q: Evaluate the given integral by making an appropriate change of variables. 9X - 3y бх — у dA, where R…

A:

Q: Q2/ Evaluate the following integrals by using Tow – points Gaussain Quadrature So 1+x dx

A: In this,we find the value of the integral by using two points gaussian quadrature formula.

Q: Evaluate the given integral by making an appropriate change of variables. SY dA, where R is the…

A:

Q: Set up the integral to find the length of the curve f(x) = V1 – 2? for 1/v2 <x < 1.

A: Please see the answer below.

Q: Evaluate the integral using the following values. x dx = 60 x dx = 6, dx = 2 J2 %3D 5x dx J2

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Q: Use the substitution formula picture below . f(u) du where g(x) =u, to evaluate the following…

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Q: Evaluate the integral by making the given substitution. dp, и %3D 1 + бр2 1 + 6p2 + C

A: Solve the indefinite integral in the following way:-

Q: Evaluate the following integral: (t8 + 3) cot(5t)dt By using integration by parts rule

A:

Q: Q5- The value of the integral J. Where C is Z = |3| (Z+1)*

A: Cauchy integral formula

Q: The integral dz is equal to 2e + C. Select one O True OFalse

A:

Q: Find the approximate area under the curve of f (x) =cos (5) from x = 0 to x = TT, using 4…

A: Here, the interval [0,π] is divided into 4 intervals of the length of each interval is ∆x=π-04=π4.…

Q: Consider the integral 3 4х f (x, y) dy dx 0, Evaluate the integral for f (x, y) = 5x²y

A: Given Data: Integrand: ∫03∫04xfx, ydydx Function: fx, y=5x2y3 Integrate the function. ∫03∫04xfx,…

Q: Evaluate the integral by making the given substitution. dx u = 7x + 4 (7x + 4)3 + C

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Q: (c) Calculate the following integral: f(x) dx

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Q: Evaluate the given integral by making an appropriate change of variables. х - бу dA, where R is the…

A: The objective is to evaluate the integral: ∫∫Rx-6y3x-ydA, where R is the parallelogram enclosed by…

Q: Q5- The value of the integral J. Where C is Z = |3| (Z+1)* .........

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Q: Q/ Evaluate the following integrals. S f sec40 tan²0 de

A: W have to find the integral.

Q: 7 dx. J 2+ Vx – 4

A:

Q: Evaluate the integral f 2x (x² + 2)° dx using the substitution u = x? + 2. | 20(a* + 2)" de +C

A: The given integral is: I=∫2xx2+26 dx

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

A:

Q: evaluate the integral by making the given substitutions

A: Given,

Q: Q4/ Revers the order of the following integral: y f(x,y)dx dy 6-y

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Q: Evaluate the integral by making an appropriate change of variables. 7(x + v) ex2 - y? dA, where R is…

A: Consider the given information:

Q: Use a substitution (in the integral) to prove that L{f(at)} where L{f(t)} = F(s). %3D a

A: Use the formula of Laplace Transformation and than substitute in the integral.

Q: Consider the following integral (Py+v)dA where D is the shaded region given in the figure below YA

A: Given: I=∫∫x2y+y3dA

Q: Evaluate the integral by making an appropriate u-substitution and applying any necessary formula(s).…

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Q: Find the integral using the substitution u = t3.

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Q: Use a table of integrals to determine t/7t + 13 dt. JWT- 13 dt =D 7t+13

A: Here we have to evaluate I=∫t7t+13dt

Q: Find the integral of f(r, 0) = where 1 <r <3, 4r2,

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Q: The integral J dx can be evaluated using the substitution u = I. Select one: O True O False

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Q: J= * By using trapezoidal rule, n=2, The integral π/2 0 sin (x) dx 0.9482 O 0.9480 O 0.9481 O 0.9444…

A: The given problem is to find the approximate value of the given definite integral using the…

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) x²V…

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Q: V 11y2 – 15 dy y2

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Q: Find the integral f(r, 0) = 4r², where 1 <r< 3, -T < e <n of

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Q: Evaluate the integral.

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Q: Evaluate the given integral by making an appropriate change of variables. X – 7y dA, where R is the…

A: given Integral∬R3x-7y5x-ydA enclosed by lines  x-7y=0,   x-7y=9, 5x-y=2,   5x-y=7 Let x-7y=u and…

Q: Evaluate the given integral by making an appropriate change of variables. 2 = BY dA, where R is the…

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Q: Evaluate the given integral by making an appropriate change of variables. 10 X - 4y dA, where R is…

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Q: Evaluate the given integral by making an appropriate change of variables.   where R is the…

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Q: Employ trapezoidal rule to approximate value of the integral f() dx using the table given below. x|…

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Q: Find the value of P which the integral convesg'es,absolubely Conditionally Sin Vz) dx .P

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Q: Evaluate the integral by making an appropriate change of variables. || v) ex? - y? dA, where R is…

A: