Find the Integral $\int \left( 2 t \mathbf { i } + 9 t ^ { 2 } \mathbf { j } + 7 \mathbf { k } \right) d t$

question 87

Multiple Choice

Find the integral $\int \left( 2 t \mathbf { i } + 9 t ^ { 2 } \mathbf { j } + 7 \mathbf { k } \right) d t$

• A) \(2 t ^ { 2 } \mathbf { i } + 9 t ^ { 3 } \mathbf { j } + 7 t \mathbf { k } + \mathbf { C }\)
• B) \(t ^ { 2 } \mathbf { i } + 3 t ^ { 3 } \mathbf { j } + 7 t \mathbf { k } + \mathbf { C }\)
• C) \(2 t \mathbf { i } + 9 t ^ { 2 } \mathbf { j } + 7 \mathbf { k } + \mathbf { C }\)
• D) \(2 \mathbf { i } + 18 t \mathbf { j } + \mathbf { C }\)

---

Definitions:

Lesbian

A woman who is romantically or sexually attracted to other women.

Bisexual Couples

refers to romantic or marital partnerships where one or both individuals identify as bisexual, being attracted to both their own gender and other genders.

Breadwinner Role

The expectation or role of a person (traditionally men in many societies) to be the primary provider of financial support for a family.

Divorce Adjustment

The process of adapting to the changes and challenges that follow the dissolution of a marriage, including emotional, financial, and social aspects.