Indefinite Integral – A quotient of functions with a root and a third root – Exercise 1982 Post category:Indefinite Integral Post comments:0 Comments Exercise Evaluate the integral ∫1x+x3dx\int \frac{1}{\sqrt{x}+\sqrt[3]{x}} dx∫x+3x1dx Final Answer Show final answer ∫1x+x3dx=2x2−3x3+6x6−6ln∣x6+1∣+c\int \frac{1}{\sqrt{x}+\sqrt[3]{x}} dx =2x^2-3\sqrt[3]{x}+6\sqrt[6]{x}-6\ln|\sqrt[6]{x}+1|+c ∫x+3x1dx=2x2−33x+66x−6ln∣6x+1∣+c Solution Coming soon… Share with Friends Read more articles Previous PostIndefinite Integral – e to the power of a polynomial in a root – Exercise 1988 Next PostIndefinite Integral – Irreducible polynomial in denominator – Exercise 1965 You Might Also Like Indefinite Integral – A polynomial to the power of a fraction – Exercise 6384 July 7, 2019 Indefinite Integral – A rational function – Exercise 6398 July 8, 2019 Indefinite Integral – A multiplication of polynomials – Exercise 6382 July 7, 2019 Indefinite Integral – A quotient of functions with ln function – Exercise 5403 May 17, 2019 Indefinite Integral – A quotient of functions with roots – Exercise 6605 July 16, 2019 Indefinite Integral – A rational function – Exercise 6393 July 8, 2019 Leave a Reply Cancel replyCommentEnter your name or username to comment Enter your email address to comment Enter your website URL (optional) Δ