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Home » Multiply the second equation by 3: \( 12x - 3y = 15 \). - Dachbleche24

Multiply the second equation by 3: \( 12x - 3y = 15 \). - Dachbleche24

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 Evaluate the integral \( \int (3x^2 - 2x + 1) \, dx \).

📌 Integral of \( 3x^2 \) is \( x^3 \).

📌 Integral of \( -2x \) is \( -x^2 \).

📌 Integral of \( 1 \) is \( x \).

📌 So, \( \int (3x^2 - 2x + 1) \, dx = x^3 - x^2 + x + C \), where \( C \) is the constant of integration.

📌 #### \( x^3 - x^2 + x + C \)1.

📌 If a train travels 60 miles per hour for 3 hours, then slows down to 40 miles per hour for the next 2 hours, how far does it travel in total?

📌 The train travels 60 miles/hour * 3 hours = <<60*3=180>>180 miles in the first segment.

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