Question

Maths aryabhattas plz solve this
$integration( \frac{x {}^{2} + 4 }{x {}^{2} } )$
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Answer 1

Answer:

x4+4/x2

Step-by-step explanation:

Step  1  :

            4

Simplify   ——

           x2

Equation at the end of step  1  :

          4

 (x2) +  ——

         x2

Step  2  :

Rewriting the whole as an Equivalent Fraction :

2.1   Adding a fraction to a whole

Rewrite the whole as a fraction using  x2  as the denominator :

          x2     x2 • x2

    x2 =  ——  =  ———————

          1        x2    

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

x2 • x2 + 4     x4 + 4

———————————  =  ——————

    x2            x2  

Polynomial Roots Calculator :

2.3    Find roots (zeroes) of :       F(x) = x4 + 4

Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  x  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  1  and the Trailing Constant is  4.

The factor(s) are:

of the Leading Coefficient :  1

of the Trailing Constant :  1 ,2 ,4

Final result :

 x4 + 4 / x2