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U-Substitution Practice Worksheet

A Grade 10 Math worksheet covering U-substitution for integration practice.

Grade 10 Math CalculusU-substitution
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Includes

2 Short AnswerFill in the BlanksMultiple Choice

Standards

CCSS.MATH.CONTENT.HSF.IF.C.7CCSS.MATH.CONTENT.HSF.BF.B.4.A
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U-Substitution Practice

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Read each problem carefully and use the method of U-substitution to find the indefinite integral. Show all your work.

1. Evaluate the integral: ∫ (2x + 1)⁵ dx

2. Evaluate the integral: ∫ x√(x² + 3) dx

For each integral, identify appropriate 'u' and 'du' terms for U-substitution.

3. ∫ e^(4x) dx Let u =   Then du =  

4. ∫ sin(3x - 2) dx Let u =   Then du =  

5. Which substitution would be most effective for ∫ x² cos(x³) dx?

a

u = x²

b

u = x³

c

u = cos(x³)

d

u = x² cos(x³)

6. Evaluate the integral: ∫ x / (x² + 5) dx

7. Evaluate the integral: ∫ (sin x) / (cos² x) dx