Question

Representa y calcula graficamente las siguientes.​

Answer 1

Respuesta:

Explicación paso a paso:

A) Ver imagen anexa

B)ver imagen anexa

Answer 2

Respuesta:

Explicación paso a paso:

A)

$\int\limits^1_{-1} {(-2x+5)} \, dx \\\\-2\int\limits^1_{-1} {x} \, dx +5\int\limits^1_{-1} {} \, dx\\\\-2\times \frac{1}{2} x^2|^1_{-1}+5\times x|^1_{-1}\\\\-2\times \frac{1}{2}\times (1^2-(-1)^2)+5\times (1-(-1))\\\\-1\times (1-1)+5\times (1+1)\\\\-1\times 0 +5\times 2\\\\0+10\\\\10$

B)

$\int\limits^3_{1} {[-(x-2)^2+3]} \, dx \\\\\int\limits^3_{1} {(-(x^2-4x+4)+3)} \, dx \\\\\int\limits^3_{1} {(-x^2+4x-4+3)} \, dx \\\\\int\limits^3_{1} {(-x^2+4x-1)} \, dx \\\\-\int\limits^3_1 {x^2} \, dx +4\int\limits^3_1 {x} \, dx -\int\limits^3_1 {} \, dx \\\\-\frac{1}{3}\times x^3|^3_1+4\times \frac{1}{2} \times x^2|^3_1-x|^3_1\\\\-\frac{1}{3}\times (3^3-1^3)+4\times \frac{1}{2} \times (3^2-1^2)-(3-1)\\\\-\frac{1}{3}\times (27-1)+2 \times (9-1)-(2)$

$-\frac{1}{3}\times 26+2 \times 8-(2)\\\\-\frac{26}{3} +16-2\\\\-\frac{26}{3} +14\\\\\frac{-26+3\times 14}{3}\\\\\frac{16}{3}$