- #1
Tanishq Nandan
- 122
- 5
Homework Statement
Solve the following integral: [(x^2+3)/(x^8+x^6)] dx [/B]
Homework Equations
The question has also said to integrate by substitution(though other methods are welcome)
That would mean substituting an expression in x with a variable,say, 't' such that the integral comes of the form f(t)dt ,which is eaier to evaluate using standard results,and then we can replace the value of t
The Attempt at a Solution
Broke down the numerator (x^2+3) into 2 terms (x^2+1) and 2 and then,separated the two fractions.
The first term came out to be (1/x^6)dx ,which is easy to integrate,but the second expression is really problematic: [2/(x^8 + x^6)]dx
I tried multiplying certain powers of x both to the numerator and denominator,but that hasn't worked well so far.(thought of substituting trigo terms,but that doesn't look promising either)
So..stuck