The statement in the image is True.

In integral calculus, the property of definite integrals states that:

$\int_b^a f(x)\,dx = -\int_a^b f(x)\,dx.$

This means that swapping the limits of integration introduces a negative sign. If you integrate from $b$ to $a$, it's equivalent to integrating from $a$ to $b$ with a minus sign. Therefore, the definition given is correct.

Would you like more details or have any questions?

Here are 5 related questions to deepen your understanding:

1. What is the geometric interpretation of a definite integral?
2. How does the fundamental theorem of calculus relate to definite integrals?
3. What does it mean for a function to be integrable on an interval?
4. How do you handle the integral of a piecewise function over different intervals?
5. Can you explain how definite integrals apply to calculating areas under curves?

Tip: Always pay attention to the limits of integration, as reversing them changes the sign of the result.