Exercise
$\int_1^{\infty\:}\frac{1}{\sqrt{\pi\:\:x}}\:dx$
Step-by-step Solution
Learn how to solve differential equations problems step by step online. Integrate the function 1/((pix)^(1/2)) from 1 to infinity. The power of a product is equal to the product of it's factors raised to the same power. Take the constant \frac{1}{\sqrt{\pi }} out of the integral. Rewrite the exponent using the power rule \frac{a^m}{a^n}=a^{m-n}, where in this case m=0. Multiply the fraction and term in - \frac{1}{2}.
Integrate the function 1/((pix)^(1/2)) from 1 to infinity
Final answer to the exercise
The integral diverges.