The current in a coil self inductance 2.0 H is increasing according to `i= 2 sin t^(2)` amp. Find the amount of energy spent during the period when current changes from to 2 A.

Explanation

To solve the problem step by step, we need to find the amount of energy spent when the current in a coil with a self-inductance of 2.0 H increases from 0 A to 2 A, given that the current is defined by the equation \( i = 2 \sin(t^2) \) A.

### Step 1: Understand the relationship between current and time
The current in the coil is given by:
\[ i = 2 \sin(t^2) \]

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