Evaluate the integral 2 dx where fx) if -2 s xs 0 16-2 if 0xs3

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

A:

Q: Evaluate the triple iterated integral. 2/2 xyz dx dy dz 0/ -1

A:

Q: Evaluate the triple iterated integral. xyz³ dx dy dz

A: ∫02∫02∫-14xyz3dxdydz=∫02∫02x2yz32x=-1x=4dydz…

Q: Evaluate the iterated integral. (9x – 7y) dy dx 8 (9x – 7y) dy dx = -

A: We can evaluate the given integral by using the following formula

Q: Evaluate iterated integral.

A: ∫03∫45xx2+3ydydx

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

A: The solution is given in the next step.

Q: dy y/ 9y2–16

A:

Q: dy 1+ sin 4y

A:

Q: | (sec 4x – 1)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 iterated integral.

A: Given, ∫01 ∫36 xx2+3y dx dy

Q: Evaluate the double integral : dy dz

A:

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

A: We have to solve the triple integral.

Q: Evaluate the triple iterated integral.

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

Q: Evaluate the iterated integral. 9. (8x – 2y) dy dx 1

A:

Q: evaluate the iterated integral.

A: ∫12∫042xydydx

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

A:

Q: Evaluate the integral 4 (y 2)(2y1) dy Jo

A: To evaluate,

Q: X. 2ze-x² dy dx dz

A:

Q: Evaluate the iterated integral. 2 6ze X dy dx dz

A: Evaluate the given iterated integral ∫12∫01∫0x56ze-x6dydxdz

Q: Evaluate the iterated integral 2y dy dx 2 x +1

A: on solving this we get the

Q: (d) Prove that 1-cos 2x dx is divergent. Hint: Split the expression inside the integral into two…

A: Integral is converges or divergence

Q: Evaluate the triple iterated integral. xyz dx dy dz 0/

A:

Q: Evaluate the iterated integral. 4 1 (3x – 5y) dy dx -1

A: We need to evaluate the value of the following iterated integral ∫14∫-113x-5ydydx

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

A:

Q: Compute the integral fo S x cos(xy)dxdy

A:

Q: Evaluate the improper iterated integral. • 1/x9 y dy dx Jo

A: In this question we have to evaluate the integral.

Q: dx 1 Vx + x3

A: Answer

Q: Evaluate the triple iterated integral. 12 2 3. xyz dx dy dz

A: Given a function f(x,y,z)=xyz3 To find ∫02∫02∫-12xyz3dxdydz

Q: Evaluate the iterated integral of 2 2x . (x2 + 2y) dy dx

A: Evaluate the double integral

Q: Evaluate triple integral , S S dz dy dx. 4-y -2 Jx2 Jo

A:

Q: Evaluate the triple iterated integral. 2 2 2 xyz dx dy dz of Jo

A: Given that ∫02∫02∫-12xyz5 dxdydz

Q: | 2°+Idal Vx² +1 dxl

A: The given integral is- ∫x3x2+1dx Let x2+1=u Differentiate w.r.t. x to both sides- 2x=dudxdu2=xdx…

Q: 3. Approximate the integral -dx using 4 trapezoids.

A:

Q: Evaluate the integral; 11 dy dx 1+ 3y3 0 vx

A: Change the order of integration

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

A:

Q: 1 dx Vx-2

A:

Q: 4 dx dy y. exp 1 0,

A:

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

A:

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

A:

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

A:

Q: Evaluate the double integral : re dy dx 4

A: Given,          ∫1e∫467xdydx