Question

Evalúate the definite integral. SHOW STEPS

Answer 1

5

Explanation:

integrate 2x + 2 dx from - 3 to 2

Formulate indefinite integral

integrate 2x + 2 dx

Evaluate indefinite integral

Apply the property of integral integrate f(x) plus/minus g * (x) dx = integrate f(x) dx plus/minus integrate g(x) dx

integrate 2x dx + integrate 2 dx

Evaluate the integral separately

x ^ 2x

Rewrite with boundary

[x ^ 2 + 2x] -3 ^ 2 .

Evaluate definite integral

(2 ^ 2 + 2 * 2) - ((- 3) ^ 2 + 2(- 3))

2 ^ 2 + 2 * 2 - (3 ^ 2 - 2 * 3)

4 + 2 * 2 - (9 - 2 * 3)

4 + 4 - (9 - 6)

4 + 4 - 3

5