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Posted 3 months ago

Solution by Steps

step 1

We need to integrate the function $6 \cos(1 + \sin(t))$ from $0$ to $3$

step 2

The integral is given by $\int_0^3 6 \cos(1 + \sin(t)) \, dt$

step 3

Using the Asksia-LL calculator, the result of the integral is approximately $-1.6335888917$

Answer

The integral of $6 \cos(1 + \sin(t))$ from $0$ to $3$ is approximately $-1.6335888917$.

Key Concept

Definite Integral

Explanation

A definite integral calculates the area under a curve between two points. In this case, we integrated the function $6 \cos(1 + \sin(t))$ from $0$ to $3$.

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