This computer science problem involves algorithmic thinking and programming concepts. The solution below explains the approach, logic, and implementation step by step.
ScanSolve AI Answer
Step 1: Write down the function to be integrated. We need to integrate y = 4x^3 + 2x + x. This means we need to find (4x^3 + 2x + x) \,dx. Step 2: Apply the sum rule for integration, integrating each term separately. (4x^3 + 2x + x) \,dx = 4x^3 \,dx + 2x \,dx + x \,dx Step 3: Integrate each term using the power rule x^n \,dx = x^n+1n+1 + C and the standard integral for x. For the first term: 4x^3 \,dx = 4 · x^3+13+1 = 4 · (x^4)/(4) = x^4 For the second term: 2x \,dx = 2 · x^1+11+1 = 2 · (x^2)/(2) = x^2 For the third term: x \,dx = x Step 4: Combine the integrated terms and add the constant of integration, C. x^4 + x^2 + x + C Step 5: Compare the result with the given options. The calculated integral is x^4 + x^2 + x + C, which matches option (C). The final answer is C. Last free one today — make it count tomorrow, or type /upgrade for unlimited.