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Evaluate the definite integral using a calculator.

a) ∫(2x^2 - 3x + 1)dx from 0 to 1
b) ∫(sin(x) + cos(x))dx from 0 to π
c) ∫(e^(2x) + 4)dx from -1 to 2
d) ∫(x^3 + 2x)dx from -2 to 3

1 Answer

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Final answer:

To evaluate the definite integrals using a calculator, input the integrand and the limits of integration into the calculator's definite integral function. The calculator will compute the integral and give you the result. The correct option A .

Step-by-step explanation:

To evaluate the definite integrals using a calculator, we need to use the definite integral function provided by the calculator. We can input the integrand and the limits of integration to find the value of the integral. Here are the step-by-step solutions for each integral:

a) ∫(2x^2 - 3x + 1)dx from 0 to 1:

Using the calculator's definite integral function, input the integrand as 2x^2 - 3x + 1 and the limits of integration as 0 and 1. The calculator will give you the result.

b) ∫(sin(x) + cos(x))dx from 0 to π:

Input sin(x) + cos(x) as the integrand and 0 and π as the limits of integration. The calculator will compute the integral and provide the result.

c) ∫(e^(2x) + 4)dx from -1 to 2:

Input e^(2x) + 4 as the integrand and -1 and 2 as the limits of integration. The calculator will evaluate the integral and give you the final answer.

d) ∫(x^3 + 2x)dx from -2 to 3:

Input x^3 + 2x as the integrand and -2 and 3 as the limits of integration. The calculator will compute the integral and provide the result.

User Chad Killingsworth
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