📘 calculus, linear algebra
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Integral Linear System 4Ef923
1. Problem 1.2: Berechnen Sie den Wert des Integrals $$\int_{-1}^{1} (5x^4 + 1) \, dx$$.
2. Formel: Das Integral einer Summe ist die Summe der Integrale, also
Selected Multistep
1. Differentiate $y = (2x+1)^5 (x^3 - x + 1)^4$.
Step 1: Use the product rule: $\frac{dy}{dx} = u'v + uv'$ where $u = (2x+1)^5$ and $v = (x^3 - x + 1)^4$.