2. Expand the integral ∫ (3x2+5x+2)dx into 3 integrals using the sum rule for integrals, to then solve each integral separately. ∫ 3x2dx+∫ 5xdx+∫ 2dx. 3. The integral ∫ 3x2dx results in: x3. x3.
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The Integral Test Home → Calculus → Infinite Sequences and Series → The Integral Test Let f (x) be a function which is continuous, positive, and decreasing for all x in the range [1, +∞).