Impara online a risolvere i problemi di passo dopo passo. Integrate int(31arctan(x^(1/2)))dx. Applicare la formula: \int cxdx=c\int xdx, dove c=31 e x=\arctan\left(\sqrt{x}\right). Applicare la formula: \int\arctan\left(\theta \right)dx=var\arctan\left(\theta \right)-\int\frac{\theta }{1+\theta ^2}dx, dove a=\sqrt{x}. Applicare la formula: \left(x^a\right)^b=x, dove a=\frac{1}{2}, b=2, x^a^b=\left(\sqrt{x}\right)^2 e x^a=\sqrt{x}. Applicare la formula: x\left(a+b\right)=xa+xb, dove a=x\arctan\left(\sqrt{x}\right), b=-\int\frac{\sqrt{x}}{1+x}dx, x=31 e a+b=x\arctan\left(\sqrt{x}\right)-\int\frac{\sqrt{x}}{1+x}dx.

Integrate int(31arctan(x^(1/2)))dx