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Home » 10 Mind-Blowing Summer Quotes That Will Make You Fall In Love with the Season! - 500apps

10 Mind-Blowing Summer Quotes That Will Make You Fall In Love with the Season! - 500apps

📅 March 14, 2026 👤 scraface

Mar 14, 2026

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Evaluate the integral \(\int (2x^3 - 4x + 1) \, dx\).
\(\int 2x^3 \, dx = rac{2}{4}x^4 = rac{1}{2}x^4\),
\(\int -4x \, dx = -2x^2\),
\(\int 1 \, dx = x\).
Combine: \(rac{1}{2}x^4 - 2x^2 + x + C\), where \(C\) is the constant...
#### \(rac{1}{2}x^4 - 2x^2 + x + C\)
If \(\log_2(x) + \log_2(8) = 5\), what is the value of \(x\)?
Use logarithmic identity: \(\log_2(x) + \log_2(8) = \log_2(8x)\).
So \(\log_2(8x) = 5\).
Convert to exponential form: \(8x = 2^5 = 32\).

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