Vault Of Euclid

Evaluating an Indefinite Integral Using Substitution

Antiderivatives warmup

Evaluate \( \int (4-2t^2)^7 t \, dt \).

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What you need first

Basic differentiation of polynomials
The power rule for integration
The concept of an indefinite integral and the constant of integration

What this problem tests

Tests the ability to identify the correct substitution and apply the power rule for integration.

This is a standard introductory problem in Calculus I when learning integration by substitution.

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