Chapter 4: Integration
Section 4.2: The Definite Integral
Evaluate the definite integral of 2 sinx+3 cosx on the interval 0,π/2.
Verify that for this integrand the definite integral is a linear operator.
For part (a), write a single definite integral; for part (b), write a linear combination of two definite integrals. The results should be the same.
Expression palette: Definite Integral template
Context Panel: Evaluate and Display Inline
∫0π/22 sinx+3 cosx ⅆx = 5
2∫0π/2sinx ⅆx+3∫0π/2cosx ⅆx = 5
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