$$\text { Find the integral } \int \left( \sin 7 t \mathbf { i } + \cos 7 t \mathbf { j } + e ^ { - t / 5 } \mathbf { k } \right) d t \text {. }$$

question 24

Short Answer

$$\text { Find the integral } \int \left( \sin 7 t \mathbf { i } + \cos 7 t \mathbf { j } + e ^ { - t / 5 } \mathbf { k } \right) d t \text {. }$$

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Definitions:

Fuse

To combine or blend to form a single entity, often by melting together under heat.

Sacrum And Coccyx

The sacrum is a large, triangular bone at the base of the spine, above the coccyx or tailbone, which is a small, triangular bone at the very bottom of the spinal column.

Vertebral Column

The series of vertebrae extending from the skull to the small of the back, encasing the spinal cord and providing support to the body.

Thoracic Cage

The bony and cartilaginous structure forming the skeleton of the thorax, protecting vital organs and assisting in respiration.