Integration

Integration as reverse differentiation, including basic antiderivatives, definite integrals, substitution, accumulation applications, and numerical/technology methods for areas, distance and volumes.

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Definite Integrals, Areas, and Basic Anti-Derivatives

Integration

Definite integrals and their rules, using anti-derivatives and the constant of integration, evaluating areas under a curve, between a curve and the x-axis, and between two curves, with ∫abf(x)dx=[F(x)]ab, ∫xndx=n+1xn+1+C, and trapezoidal or GDC methods when needed.

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Anti-Derivative Rules

Integration

0/1 key exercises

Techniques of Integration

Integration

0/3 key exercises

Kinematics

Integration

0/4 key exercises

Volumes of Revolution

Integration

0/1 key exercises

Integration

Integration as reverse differentiation, including basic antiderivatives, definite integrals, substitution, accumulation applications, and numerical/technology methods for areas, distance and volumes.

Sign up to view your learning progress

Sign up

Choose a concept to study or jump straight into the problem bank.

Concepts

Start Here

Definite Integrals, Areas, and Basic Anti-Derivatives

Integration

Definite integrals and their rules, using anti-derivatives and the constant of integration, evaluating areas under a curve, between a curve and the x-axis, and between two curves, with ∫abf(x)dx=[F(x)]ab, ∫xndx=n+1xn+1+C, and trapezoidal or GDC methods when needed.