- #1
zandria
- 15
- 0
Homework Statement
\int_0^{\infty} sin(ax) / sqrt(x) dx
Homework Equations
The Attempt at a Solution
I thought of using integration by parts, but that gets me nowhere. I'm not sure how to go about this problem.
An integral involving sine and root is a mathematical expression that involves the integration of a function that contains both the sine function and the square root function.
The general form of an integral involving sine and root is ∫ sin(ax) √(bx) dx, where a and b are constants.
The technique for solving integrals involving sine and root is to use the substitution method, where a new variable is introduced to replace the expression inside the square root function.
Integrals involving sine and root have many applications in science, particularly in physics and engineering. They are used to solve problems involving oscillatory motion, such as the motion of a pendulum or a spring.
Yes, there are special cases of integrals involving sine and root, such as when the argument of the sine function is a constant or when the argument of the square root function is a perfect square.