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What is the integral of e^(2x) dx?
What is the integral of e^(2x) dx?
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Practice Questions
1 question
Q1
What is the integral of e^(2x) dx?
(1/2)e^(2x) + C
2e^(2x) + C
e^(2x) + C
(1/2)e^(x) + C
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The integral of e^(2x) is (1/2)e^(2x) + C, where C is the constant of integration.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the integral of e^(2x) dx?
Solution:
The integral of e^(2x) is (1/2)e^(2x) + C, where C is the constant of integration.
Steps: 5
Show Steps
Step 1: Identify the function to integrate, which is e^(2x).
Step 2: Recall the rule for integrating exponential functions: the integral of e^(kx) is (1/k)e^(kx) + C, where k is a constant.
Step 3: In our case, k is 2 because we have e^(2x).
Step 4: Apply the rule: the integral of e^(2x) is (1/2)e^(2x) + C.
Step 5: Write down the final answer: (1/2)e^(2x) + C.
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