Answer to Question #298039 in Calculus for Gilgamesh

Question

1. Find the area under the curve y = 3x+ 1 over the interval [2, 6] using right end point approximation.

2. Evaluate the integral and state whether it converges or diverges: $\int_{-∞}^{0}$ e 3x dx

3. Integrate the rational function by partial fraction (decomposition): ∫ (11x+17) / (2x2+7x−4) dx

4. Evaluate the integral by trigonometric substitution: ∫ dx / (1−x²)^3/2

5. Evaluate in terms of beta function: $\int_{0}^{1}$ x² (1 − x³ )^3/2 dx

Answer 1

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