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Find the integral of x^5 dx. (2020)
Find the integral of x^5 dx. (2020)
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Practice Questions
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Q1
Find the integral of x^5 dx. (2020)
(1/6)x^6 + C
(1/5)x^6 + C
(1/4)x^6 + C
(1/7)x^6 + C
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The integral is (1/6)x^6 + C.
Questions & Step-by-step Solutions
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Q
Q: Find the integral of x^5 dx. (2020)
Solution:
The integral is (1/6)x^6 + C.
Steps: 5
Show Steps
Step 1: Identify the function to integrate, which is x^5.
Step 2: Use the power rule for integration. The power rule states that the integral of x^n is (1/(n+1)) * x^(n+1) + C, where n is the exponent.
Step 3: In this case, n is 5. So, we will add 1 to the exponent: 5 + 1 = 6.
Step 4: Now, apply the power rule: (1/6) * x^6.
Step 5: Don't forget to add the constant of integration, C. So, the final answer is (1/6)x^6 + C.
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