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Ranking Integrals by Technique Complexity

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Arrange the following integrals from simplest to most complex, based on the algebraic manipulation required for evaluation: ∫(3∗x2+2∗x) dx\int (3*x^2+2*x)\,dx, ∫(sin⁡(x)+cos⁡(x)) dx\int (\sin(x)+\cos(x))\,dx, ∫2∗xx2+1 dx\int \frac{2*x}{x^2+1}\,dx, ∫2∗x+3 dx\int \sqrt{2*x+3}\,dx

A

∫(sin⁡(x)+cos⁡(x)) dx\int (\sin(x)+\cos(x))\,dx, ∫(3∗x2+2∗x) dx\int (3*x^2+2*x)\,dx, ∫2∗x+3 dx\int \sqrt{2*x+3}\,dx, ∫2∗xx2+1 dx\int \frac{2*x}{x^2+1}\,dx

B

∫2∗xx2+1 dx\int \frac{2*x}{x^2+1}\,dx, ∫2∗x+3 dx\int \sqrt{2*x+3}\,dx, ∫(3∗x2+2∗x) dx\int (3*x^2+2*x)\,dx, ∫(sin⁡(x)+cos⁡(x)) dx\int (\sin(x)+\cos(x))\,dx

C

∫(3∗x2+2∗x) dx\int (3*x^2+2*x)\,dx, ∫2∗xx2+1 dx\int \frac{2*x}{x^2+1}\,dx, ∫(sin⁡(x)+cos⁡(x)) dx\int (\sin(x)+\cos(x))\,dx, ∫2∗x+3 dx\int \sqrt{2*x+3}\,dx

D

∫(3∗x2+2∗x) dx\int (3*x^2+2*x)\,dx, ∫(sin⁡(x)+cos⁡(x)) dx\int (\sin(x)+\cos(x))\,dx, ∫2∗xx2+1 dx\int \frac{2*x}{x^2+1}\,dx, ∫2∗x+3 dx\int \sqrt{2*x+3}\,dx

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