Definite Integral – A quotient of functions with a root on a finite interval – Exercise 6415

Exercise

Evaluate the integral

04x1+2x+1dx\int_0^4 \frac{x}{1+\sqrt{2x+1}} dx

Final Answer


04x1+2x+1dx=73\int_0^4 \frac{x}{1+\sqrt{2x+1}} dx=\frac{7}{3}

Solution

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