# Math

posted by .

dz =(−sinx + 2xy^2)dx +(2x^2 y)dy
Integrate the differential to find the function z.

Would I say that z was equal to two separate differentials and integrate the first part of the function with respect to x and the second part with respect to y?
z = cosx + x^2 y^2 + x^2 y^2 + C
z = cosx + 2(x^2 y^2) + C

Is this right or have I gone wrong?

• Math -

you can check..

If z=cosx + 2x^2y^2 + C
then dz/dx= -sinx + 4xy^2 + 4x^2y dy/dx
which is not exactly what you started with.
check my thinking.

## Similar Questions

dy/dx = 2y^2 Integrating...y=2/3 y^3 + C put 1,-1 into the equation, and solve for C. Then find the y for x=2 if y= a^uhttp://math2.org/math/integrals/tableof.htm see exponential functions. dy/dx=2y^2 and if y=-1 when x=1, then when …
2. ### Integral calculus

Please do help solve the followings 1) Integrate e^4 dx 2) Integrate dx/sqrt(90^2-4x^2) 3) Integrate (e^x+x)^2(e^x+1) dx 4) Integrate xe^x2 dx e^4 is a constant. 3) let u= e^x + x du= (e^x + 1)dx 4) let u= x du=dx v= e^x dv= e^x dx
3. ### calculus

1) Integrate Cos^n(x) dx 2) Integrate e^(ax)Sinbx dx 3) Integrate (5xCos3x) dx I Will be happy to critique your thinking on these. 1) Derive a recursive relation. 2) Simplest by replacing sin(bx) by Exp[i b x] and taking imaginary …
4. ### math

Find the area bounded by the parabola y^2=4x and the line y=2x-4. Use vertical representative rectangles (integrate with respect to x) and horizontal representative rectangles (integrate with respect to y). the answer is 9 square units …
5. ### math, calculus 2

Consider the area between the graphs x+y=16 and x+4= (y^2). This area can be computed in two different ways using integrals. First of all it can be computed as a sum of two integrals integrate from a to b of f(x)dx + integrate from …
6. ### calculus 2

Justify, with a written explanation or a mathematical reasoning and with a sketch of at least two different cases, the following properties of integrals: a) If f(x) is less than or equal to g(x) for a<=x<=b then integrate from …
7. ### Calculus HELP!!!

Here is the graph. h t t p : / /goo.gl/PTc2I (spaces added at the beginning so it could be added as a website) 1. Let g be the function given by g(x)=integrate from -4 to x f(t)dt. For each of g(-1), g'(-1), and g''(-1), find the value …
8. ### math

Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. 2y=5x , y=3 and 2y+1x=6 It is easier to integrate with respect to the variable Area = Help!!!!
9. ### Calculus

dy/dx = 4ye^(5x) a) Separate the differential equation, then integrate both sides. b) Write the general solution as a function y(x). For the second part, I got y(x)=e^((5e^(5x))/(5)) + C but I don't understand how to separate differential …
10. ### Math

Redo problem 13 from section 1.8 of your textbook (page 62), but use the functions in the questions below rather than the functions in your textbook: (a) In order to express the function y = 1311 x − 4, as a composition of two …

More Similar Questions