Grade 11 Integration Practice
This worksheet provides practice problems on basic integration techniques for Grade 11 Calculus students.
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Grade 11 Integration Practice
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Read each question carefully and show all your work. Use proper notation for integration. Simplify your answers where possible.
Evaluate the following indefinite integrals:
1. ∫ (3x² + 2x - 5) dx
2. ∫ (4√x + 1/x²) dx
Complete the following statements regarding the power rule for integration:
1. The power rule for integration states that ∫ xⁿ dx = + C, provided that n ≠ .
2. When n = -1, the integral of xⁿ dx is + C.
Evaluate the following definite integrals:
1. ∫ from 1 to 2 of (6x² - 3) dx
2. ∫ from 0 to 1 of (eˣ + 2) dx
1. Which of the following is NOT a property of definite integrals?
∫ (f(x) + g(x)) dx = ∫ f(x) dx + ∫ g(x) dx
∫ c f(x) dx = c ∫ f(x) dx
∫ from a to b of f(x) dx = - ∫ from b to a of f(x) dx
∫ from a to b of f(x) dx = ∫ from a to c of f(x) dx + ∫ from b to c of f(x) dx
Indicate whether each statement is true or false.
1. Integration is the reverse process of differentiation.
True
False
2. The constant of integration 'C' is only added to definite integrals.
True
False
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