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Calculus 2: Strategy for integration

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All Calculus 2Volumes of Solids of RevolutionIntegration by PartsTrigonometric IntegralsTrigonometric substitutionPartial fractionsImproper integralsStrategy for integrationArc lengthArea of a surface of revolutionIntroduction to differential equationsSeparable differential equationsLinear differential equationsParametrized curvesPolar coordinatesSequencesSeries and the integral testComparison testsAlternating series and absolute convergenceRatio and root testsPower series and representations of functionsTaylor and Maclaurin seriesApplications of Taylor polynomials
Definite Integral of a Polynomial Function

Evaluate the integral 8∫152u2 du8 \displaystyle \int_{1}^{\frac{\sqrt{5}}{2}} u^2 \, du.

Strategy for integrationEasyVideo
Evaluate Definite Integral Using Fundamental Theorem of Calculus Part 2

Evaluate the integral from 0 to 2 of ∫02(5x4−2x) dx \displaystyle \int_{0}^{2} (5x^4 - 2x) \, dx using the fundamental theorem of calculus Part 2.

Strategy for integrationEasyVideo
Evaluate Integral using USubstitution

Evaluate ∫03e2x dx \displaystyle \int_{0}^{3} e^{2x} \, dx using the uu-substitution method, where u=2xu = 2x.

Strategy for integrationEasyVideo