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Choose the correct answerintx^2e^(x^3)dx...

Choose the correct answer`intx^2e^(x^3)dx`equals(A) `1/3e^(x^3) +C` (B) `1/3e^(x^2)+C` (C) `1/2e^(x^3)+C` (D) `1/2e^(x^2)+C`

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To solve the integral \( \int x^2 e^{x^3} \, dx \), we will use substitution. ### Step 1: Choose a substitution Let \( t = x^3 \). ### Step 2: Differentiate to find \( dt \) Differentiating both sides with respect to \( x \): \[ ...
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