Question

the complete integral of p+q=pq​

Answer 1

Answer:

Step-by-step explanation:

Concept:

Numerous mathematical ideas can all be referred to as "integrals." The fundamental calculus object that corresponds to summing infinitesimal parts to determine the content of a continuous region is the most widely used definition. Other uses of the term "integral" include values that always accept integer values (such as integral embedding and integral graph) and mathematical concepts (such as integral domain) for which integers serve as basic instances (e.g., integral curve).

An integral in calculus is a mathematical concept that can be used to represent an area or an expanded version of an area. The basic components of calculus are integrals and derivatives. The terms antiderivative and primal are additional terms for integral. Integration, or the more archaic quadrature, is the method of computing an integral, while numerical integration is the approximate computation of an integral.

Given:

The integral $p+q=pq$

Find:

We have to find the complete integral $p+q=pq$

Solution:

Given that

$F(p,q)=p+q-pq=0$

Allow the entire integral of $F(a,b)$ be given as;

In which $p=a, q=b$

$z=ax+by+c.....(i)$

Using our formula;

$F(a,b)=a+b-ab=0$

solve for a

$a+b(1-a)=0$

$b=\frac{a}{a-1}$

It can be used as a replacement in the equation $(i)$

$z=ax+\frac{a}{a-1} y+c$

Hence complete integral of  $p+q=pq$ is $z=ax+\frac{a}{a-1} y+c$

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