ii) Evaluate the integral // Va? + y°dxdy. 1-y2

Q: Calculate this integral a Sat-x? 3/2 x²+y²)¯ dy dx -a

A:

Q: O Calculate the integral y dydx

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Calculate the iterated integral. 7. 2xex dy dx Jo

A:

Q: 2z •In a 5. xe¯Y dy dx dz

A: Given, ∫12∫02z∫0ln x xe-y dy dx dz

Q: Use the substitution formula to evaluate the integral. T/8 19) (1 + etan 2x) sec 2x dx

A:

Q: Evaluate the improper iterated integral. x2 dy dx 1 + y2

A: Given: I=∫03∫0∞ x21+y2dydx As we know that; ∫11+x2dx=tan-1x+C And ∫a·fxdx=a·∫fxdx, where a is…

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: Evaluate the iterated integral. yz dx dz dy 45 в) 34 47/3 D) 5

A:

Q: Consider the triple integral I = S S“(y² – 6z)dydzdx. -

A: ∫02∫x21∫0xzy2-6zdydzdx=∫02∫x21z3x33-6z2xdzdx=∫02x31-x812-6x13-x63dx=31.88888…

Q: Evaluate the triple integral S" S, sin y² dz dy dx.

A: We need to find the triple integral ∫03∫0π∫0ysiny2dzdydx. So,…

Q: Evaluate the iterated integral -6x-x² xy dy dx, (x² + y?)3/2

A: Given: Now let us calculate the given iterated integral by using polar coordinates,…

Q: Evaluate the triple iterated integral. 2 xyz dx dy dz -1

A: We have to solve the triple integral.

Q: Calculate the integral $dz, where C: |z] = 2.

A:

Q: Evaluate the triple iterated integral.

A: The given integral is ∫02∫01∫-12xyz3dxdydz.

Q: Evaluate the iterated integral: 24xyz? dx dy dz

A:

Q: Evaluate the triple iterated integral. ..* 2 Xyz' dx dy dz -1

A:

Q: 1.a) Apply the Trapezoid and Corrected Trapezoid Rule, with h=; , to approximate the integrale-2x²…

A: Note:- As per our guidelines, we can answer the first part only as both are different and first part…

Q: Evaluate the iterated integral. /8 3/y sin y dz dx dy Jo

A:

Q: aluate the iterated integral. || 5x²sin(y) dy dz dx =

A: Given: ∫0π∫05x∫0xz5x2sinydydzdx

Q: Evaluate the iterated integral. x2 3ze dy dx dz Jo

A: triple integration

Q: X. 2ze-x² dy dx dz

A:

Q: Evaluate the integral.

A:

Q: The value of the triple integral J.J.J v+2z)dzdydx (Correct to ONE decimal place) will be

A:

Q: Evaluate the integral. 'Tt/2 7 cot (x) dx T/4

A:

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

A:

Q: For what value. of4, the fundion Ux)= I+dx is. solution of %3D the integral equation x3= Ut dt

A: We have to first transform the x variable of u function to t.

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

A:

Q: Calculate the iterated integral o L? 5x cos y dydx

A:

Q: The value of integral .dz is (z – 1)?

A:

Q: , evaluate the given double integral. I sinxcos(y – n)dxdy 10.

A:

Q: Evaluate the iterated integral. 2ye-* dy dx 12

A: Given that, ∫25∫1x2ye-xdydx we have to find the value of this integral.

Q: Evaluate the integral. * T/2 sin³x cos y dx

A: Using identity         Sin2x+cos2x=1

Q: Evaluate the iterated integral. TT- 9x 3x2 sin(y) dy dz dx

A: The objective is to evaluate the iterated integral.

Q: xVx? + y dy dx

A: Answer for the given iterated integral is   6215 -635

Q: Evaluate the triple iterated integral. r2 xyz dx dy dz

A:

Q: Determine the parts U Ind du for the following integral XVX-3 dx

A: Given query is to find the integration using substitution.

Q: Evaluate the integral.

A:

Q: evaluate the iterated integral.

A:

Q: Evaluate the iterated integral. 5x 15x? sin y dy dz dx Jo

A: Given ∫0π∫05x∫0xz15x2sinydydzdx Evaluate the iterated integral

Q: 3) Evalnate the iterated integral oy Cer the to palar corrdinate, 2x-x a) hny? dy dx

A: Introduction: Since you have asked multiple questions, we will solve the first question for you. If…

Q: Evaluate the triple iterated integral x dz| dy d

A: Solution of given question is followed by:

Q: /2 etan y sec y х cos" ydxdy

A:

Q: Evaluate the iterated integral. 9ze9 dy dx dz

A: Given integral is , ∫12∫01∫0x89ze-x9dydxdz

Q: Evaluate the triple iterated integral. ,3 xyz dx dy dz

A:

Q: 7/2 VI- cos z dy dx dz

A: The detailed solution is as follows:

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

A: