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Evaluate: intsin^(-1)(3x-4\ x^3)\ dx...

Evaluate: `intsin^(-1)(3x-4\ x^3)\ dx`

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To evaluate the integral \( I = \int \sin^{-1}(3x - 4x^3) \, dx \), we will follow a systematic approach. ### Step-by-Step Solution: 1. **Substitution**: Let's start by substituting \( x = \sin t \). This means \( dx = \cos t \, dt \). \[ I = \int \sin^{-1}(3\sin t - 4\sin^3 t) \cos t \, dt ...
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