\int\frac{{x}^{2}}{{x}}\frac{{\left({4}+{9}{x}^{2}\right)}^{1}}{{2}}{\left.{d}{x}\right.}

Cem Hayes

Cem Hayes

Answered question

2021-09-06

x2x(4+9x2)12dx

Answer & Explanation

ottcomn

ottcomn

Skilled2021-09-07Added 97 answers

Take the integral:
x9x2+4dx
For the integrand x 9x2+4, substitute u=9x2+4anddu=18xdx:
=118udu
The integral of u is 2u323:
=u3227+constant
Substitute back for u=9x2+4:
Answer:
=127(9x2+4)32+constant

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