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## Homework Statement

A large cube has its bottom face on the x-z plane and its back face on the x-y plane. The corners on the x-axis are at (7.93 m,0,0) and (15.9 m,0,0). The cube is immersed in an electric field pointing in the positive

*x-*direction, and given by:

**E**= (44.9

*x*2 - 9.92)

**i**,

*x*is the distance along the

*x*-axis in m, and

*E*is in N/C.

*:This means that*

**NOTE****E**has constant direction, but increases in magnitude with the

*x*-coordinate.

Find the net charge

*Q*inside the cube, in μC.

*: The sign of the charge is important!*

**NOTE**## Homework Equations

E * A = Q enclosed / ε

3. The Attempt at a Solution

3. The Attempt at a Solution

**E**= ( 44.9

*x^2*- 9.92 )

**i**

My first task is to find Electric field so I can use the formula that is provided in the Relevant Equations section. My question is more about math rather physics. Am I allowed to conclude that E is equal to [ ∫ 44.9

Thank you Ψ

My first task is to find Electric field so I can use the formula that is provided in the Relevant Equations section. My question is more about math rather physics. Am I allowed to conclude that E is equal to [ ∫ 44.9

*x^2*- 9.92 dx ] with lower limit being 7.93 and upper limit being 15.9? If that logic is correct then there is no other question. I got Q enc = 4.5243 Coulombs ...Thank you Ψ