Common Trig Mistake

Calculus Level 3

It's quite common that students will confuse $$\sin(x^2)$$ with $$\sin^2(x)$$. If this were the case, then they would be equal, and thus $$\sin^2(x)-\sin(x^2)$$ would equal $$0$$. This isn't the case however. Define this function as $$f(x)$$. Find

$$\displaystyle\int_{0}^{100} f(x)$$ $$dx$$.

Round to the nearest whole number.

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