Evaluating Definite Integrals (Year 11-12)
Free printable Year 11-12 Mathematical Methods worksheet: evaluating definite integrals with the Fundamental Theorem of Calculus, F(b) - F(a).
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Year 11-12 · Math worksheet
Name
Date
Math
Integration: Evaluating Definite Integrals
Evaluate each definite integral using the Fundamental Theorem of Calculus: find an antiderivative F(x), then compute F(b) - F(a). Give the exact value (a fraction where needed).
- 1.Evaluate the definite integral of (-4x^2 + 5x + 4) dx from x = -2 to x = 1.
- 2.Evaluate the definite integral of (-6x - 3) dx from x = -1 to x = 1.
- 3.Evaluate the definite integral of ( - + 3x + 5) dx from x = -2 to x = 2.
- 4.Evaluate the definite integral of (- - 4x + 2) dx from x = 1 to x = 4.
- 5.Evaluate the definite integral of (-5x^2 + 3x + 4) dx from x = 0 to x = 2.
- 6.Evaluate the definite integral of (3x^2 - 2x + 6) dx from x = -1 to x = 0.
- 7.Evaluate the definite integral of (- + 6x^2 - 3x + 1) dx from x = -1 to x = 3.
- 8.Evaluate the definite integral of (-3x^2 + 5x + 4) dx from x = 1 to x = 4.
- 9.Evaluate the definite integral of (4x^3 + - 6x + 3) dx from x = 1 to x = 5.
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About this worksheet
In class: Use the Fundamental Theorem: find any antiderivative F, then compute F(b) - F(a). Lay the work out as [F(x)] from a to b and subtract. Keep exact fractions rather than rounding.
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