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What is the value of the integral ∫(2x)dx from 0 to 1?

Practice Questions

Q1
What is the value of the integral ∫(2x)dx from 0 to 1?
  1. 1
  2. 2
  3. 3
  4. 0

Questions & Step-by-Step Solutions

What is the value of the integral ∫(2x)dx from 0 to 1?
  • 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 1.
  • Step 4: Evaluate the antiderivative at the upper limit (1): x^2 = 1^2 = 1.
  • Step 5: Evaluate the antiderivative at the lower limit (0): x^2 = 0^2 = 0.
  • Step 6: Subtract the value at the lower limit from the value at the upper limit: 1 - 0 = 1.
  • Step 7: The value of the integral ∫(2x)dx from 0 to 1 is 1.
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