U-Substitution Practice Worksheet
A Grade 10 Math worksheet covering U-substitution for integration practice.
Includes
Standards
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?
u = x²
u = x³
u = cos(x³)
u = x² cos(x³)
6. Evaluate the integral: ∫ x / (x² + 5) dx
7. Evaluate the integral: ∫ (sin x) / (cos² x) dx
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