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Multiple Choice
Evaluate the indefinite integral:
A
B
C
D
Verified step by step guidance
1
Step 1: Begin by identifying the integral to evaluate. The given expression is the indefinite integral of (0.75x^2 - 16x^2) dx.
Step 2: Combine like terms inside the integral. Since both terms involve x^2, you can simplify the expression to (-15.25x^2) dx.
Step 3: Apply the power rule for integration. The power rule states that the integral of x^n dx is (x^(n+1))/(n+1) + C, where C is the constant of integration.
Step 4: Integrate -15.25x^2 using the power rule. Increase the exponent of x^2 by 1 to get x^3, then divide by the new exponent (3). This results in (-15.25x^3)/3.
Step 5: Add the constant of integration, C, to the result. The final expression for the indefinite integral is (-15.25x^3)/3 + C.