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Model

@deepseek-ai / deepseek-math-7b-base

Output

8/3. This result is obtained by integrating the formula, which is x^3/3, and then substituting the upper and lower limit values. The answer is also verified by applying the fundamental theorem of calculus. A definite integral can be visualized as an area under a graph. The equation for x^2 is graphed below from 0 to 2: The function x^2 is integrated from x = 0 to x = 2, using the fundamental theorem of calculus. The integral is found as: The formula for the integral of x^2 is given as x^3/3. This is substituted with the upper and lower limit values to determine the area under the curve. The area is the result of the integral of the equation, which is given as: = (8/3) - (0/3) = 8/3 The result of 8/3 or 2.6667 is the same

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