Approximate $\int _ { 0 } ^ { 4 }$ $\frac { 1 } { x ^ { 2 } + 1 }$

question 122

Short Answer

Approximate $\int _ { 0 } ^ { 4 }$ $\frac { 1 } { x ^ { 2 } + 1 }$ dx; n = 2, by (a) the midpoint rule, (b) the trapezoidal rule, and (c) Simpson's rule.
Enter your answers in that order as just unlabeled real numbers rounded to two decimal places, separated by commas.

---

Definitions:

Androgynous

Possessing or exhibiting both masculine and feminine characteristics; often used in the context of gender identity and roles.

Expressive Traits

Personality attributes that involve external displays of emotions, feelings, and interpersonal communication.

Gender Identity

An individual's personal sense of their own gender, whether that aligns with their biological sex or not.

Highly Developed Countries

Nations with advanced economic systems, high standards of living, and robust infrastructure.