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Home » Let $x = \sin z$. Then: - AMAZONAWS

Let $x = \sin z$. Then: - AMAZONAWS

📅 March 5, 2026 👤 scraface

Mar 05, 2026

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📌 Calculate the integral \( \int (4x^3 - 2x + 1) \, dx \).

📌 Integrate each term:

📌 \( \int 4x^3 \, dx = x^4 \),

📌 Combine and add the constant of integration \( C \):

📌 \[ \int (4x^3 - 2x + 1) \, dx = x^4 - x^2 + x + C \].

📌 #### \( x^4 - x^2 + x + C \)

📌 Find the inverse of the function \( f(x) = rac{2x + 3}{x - 1} \).

📌 Set \( y = rac{2x + 3}{x - 1} \).

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So, the probability that neither of the top 2 is selected is:
\frac{56}{120} = \frac{7}{15}
Therefore, the probability that at least one of the top 2 is selected...
- \frac{7}{15} = \frac{8}{15}
\boxed{\frac{8}{15}}
Question: A food scientist is developing a new low-sugar snack bar and...
We calculate the probability of selecting **exactly 2** or **exactly 3...
Total number of ways to choose 3 from 10:
Number of favorable outcomes:
Exactly 2 from top 4 and 1 from the rest:

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