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HomeQuestion 1FluencyCore
Original practice · Free Online RevisionSkill · power rule
Find ∫(6x²−4x+3) dx.
CalculusAdvancedMaths revision
Integration
Use antiderivatives, definite integrals and the Fundamental Theorem to measure accumulation.
Focus points
✓Integrate standard functions.
✓Evaluate definite integrals.
✓Connect accumulation to derivatives.
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The Wise Owl
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Practice setQuestion lineup
Try each question first, reveal a hint when you need one, then check the worked answer. Mark them done as you go — finish the set to claim your chips.
10 revision questions
Question 2FluencyCore
Original practice · Free Online RevisionSkill · log integral
Evaluate ∫(3/x) dx.
Question 3FluencyCore
Original practice · Free Online RevisionSkill · exponential integral
Evaluate ∫ e^(2x) dx.
Question 4FluencyCore
Original practice · Free Online RevisionSkill · definite integral
Evaluate ∫₀² (3x+1) dx.
Question 5FluencyCore
Original practice · Free Online RevisionSkill · trig integral
Evaluate ∫₀^π sin x dx.
Question 6FluencyCore
Original practice · Free Online RevisionSkill · FTC
If F(x)=∫₁ˣ (t⁴+2t)dt, find F′(x).
Question 7ChallengeStretch
Original practice · Free Online RevisionSkill · substitution
Find ∫ 2x(x²+5)⁴ dx.
Question 8ApplicationCore
Original practice · Free Online RevisionSkill · area
Find the area under y=x² from x=0 to x=3.
Question 9ChallengeStretch
Original practice · Free Online RevisionSkill · substitution
Evaluate ∫₁ᵉ (ln x)/x dx.
Question 10ReasoningCore
Original practice · Free Online RevisionSkill · integral reasoning
Explain why ∫ₐᵇ f(x)dx can be zero even when f is not identically zero.