Find the integration of the given function (x^2+4)/(x^4+x^2+16)dx

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Ayush Anand · Answer

Step 1: expand the numerator into x 2 + 1 + 3. Step 2: now, you will get two fractions with numerator x 2 + 1 and 3. Step 3: for the fraction with numerator 3, make square in the denominator. You can easily directly integrate it using formulas. Step 4: for the first fraction, divide numerator and denominator by x 2 . Step 5: Now assume ( x - 1/x) = t. You will get the numerator as the derivative of t. (I hope you understand that this is the trick to solve questions where w have x 4 in denominator. Now you can solve the question easily. I cannot type the answer since there is no option of inserting formula here.

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Find the integration of the given function (x^2+4)/(x^4+x^2+16)dx

Find the integration of the given function (x^2+4)/(x^4+x^2+16)dx

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