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What is the integral of f(x) = 2x from 0 to 3?
What is the integral of f(x) = 2x from 0 to 3?
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Q1
What is the integral of f(x) = 2x from 0 to 3?
9
6
3
12
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∫(2x)dx from 0 to 3 = [x^2] from 0 to 3 = 9 - 0 = 9.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the integral of f(x) = 2x from 0 to 3?
Solution:
∫(2x)dx from 0 to 3 = [x^2] from 0 to 3 = 9 - 0 = 9.
Steps: 6
Show Steps
Step 1: Identify the function to integrate, which is f(x) = 2x.
Step 2: Set up the integral from 0 to 3: ∫(2x)dx from 0 to 3.
Step 3: Find the antiderivative of 2x. The antiderivative is x^2.
Step 4: Evaluate the antiderivative at the upper limit (3): (3)^2 = 9.
Step 5: Evaluate the antiderivative at the lower limit (0): (0)^2 = 0.
Step 6: Subtract the lower limit result from the upper limit result: 9 - 0 = 9.
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