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Multiple Choice
Evaluate the indefinite integral:
A
B
C
D
Verified step by step guidance
1
Step 1: Identify the integral to be solved. The problem asks to evaluate the indefinite integral of 9 * 4x with respect to x, which can be written as ∫ 9 * 4x dx.
Step 2: Simplify the integrand. Combine the constants 9 and 4 to get 36, so the integral becomes ∫ 36x dx.
Step 3: Apply the power rule for integration. The power rule states that ∫ x^n dx = (x^(n+1))/(n+1) + C, where n ≠ -1. Here, the exponent of x is 1.
Step 4: Increase the exponent of x by 1 (from 1 to 2) and divide by the new exponent. This gives (36x^2)/2 + C.
Step 5: Simplify the result. Divide 36 by 2 to get 18, so the final expression becomes 18x^2 + C.