What is the value of the integral ∫(2x)dx from 0 to 2?

₹0.0

Question: What is the value of the integral ∫(2x)dx from 0 to 2?

Options:

Correct Answer: 4

Solution:

∫(2x)dx = x^2 from 0 to 2 = 2^2 - 0^2 = 4.

What is the value of the integral ∫(2x)dx from 0 to 2?

What is the value of the integral ∫(2x)dx from 0 to 2?

Step 1: Identify the integral you need to solve, which is ∫(2x)dx.
Step 2: Find the antiderivative of 2x. The antiderivative of 2x is x^2.
Step 3: Write down the limits of integration, which are from 0 to 2.
Step 4: Evaluate the antiderivative at the upper limit (2): (2)^2 = 4.
Step 5: Evaluate the antiderivative at the lower limit (0): (0)^2 = 0.
Step 6: Subtract the value at the lower limit from the value at the upper limit: 4 - 0 = 4.

No concepts available.