Show all relevant work!!! A thin non-uniformly charged rod with… Show all relevant work!!!A thin non-uniformly charged rod with length L is .  |—L–|P +++++ The line charge density of the rod is λ = (A x3 + B x2)43 where A has units of C/m and B has units of C/m .Point P is located at the left edge of the rod.(a) [1 pts] Write down an expression for the infinitesimal charge dq, using the linear charge density λ, in terms of A.(b)  [2 pts] Draw the charge element dq and show where is r for that charge element and point P.(c)  [1 pts] What is the relation between r and x?(d)  [3 pts] Write down the magnitude of | | at point P due to the infinitesimal charge dq, in terms of L and xAND indicate its direction.(e) [2 pts] Write down the integral to find the magnitude of the electric field at point P with correct limits.(f) [3 pts] Evaluate the integral, write down the expression for the magnitude of the electric field, due to the charged rod, at point P, and simplify the result of the integration.shown in the figure. Science Physics PH 2113