Grade 12 Introduction to Integrals Quiz

A free Grade 12 Introduction to Integrals quiz. Play without signing up; sign in to save your score.

Grade 12 gradeMath subjectFree quiz

Grade 12 integrals reverse differentiation: an antiderivative F satisfies F′ = f. Students compute indefinite integrals, approximate definite integrals with Riemann sums, and apply the Fundamental Theorem of Calculus. Substitution undoes the chain rule. Area under f from a to b is a definite integral when f is nonnegative.

The Grade 12 Introduction to Integrals quiz is free to play without signing up. Sign in to save scores. Classic has a timer; Trivi gives three hearts; Learn is untimed with no score.

What you practice

These are the Grade 12 Introduction to Integrals skills this quiz is built around.

Find an antiderivative of a polynomial, sine, or cosine function.
Evaluate a definite integral with the Fundamental Theorem of Calculus.
Use substitution on a composite whose inner derivative is visible.

A useful tip

The antiderivative of x^n is x^(n+1)/(n+1) + C for n ≠ −1. Forgetting + C on an indefinite integral drops a family of vertical shifts.

Frequently asked questions

What does Grade 12 Introduction to Integrals practice?

Practice includes: Find an antiderivative of a polynomial, sine, or cosine function; Evaluate a definite integral with the Fundamental Theorem of Calculus; Use substitution on a composite whose inner derivative is visible.

Is the Grade 12 Introduction to Integrals quiz free?

Yes. This quiz is free to play without signing up. Sign in to save your scores and progress.

What game modes can I use?

Classic has a timer; Trivi gives three hearts; Learn is untimed with no score.