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Since the upper limit of the integral is less than the lower one, we can rewrite the limits by applying the inverse property of integration limits: If we invert the limits of an integral, it changes sign: $\int_a^bf(x)dx=-\int_b^af(x)dx$
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$-\int_{-2}^{3}\sin\left(t\right)dt$
Learn how to solve definite integrals problems step by step online. Integrate the function sin(t) from 3 to -2. Since the upper limit of the integral is less than the lower one, we can rewrite the limits by applying the inverse property of integration limits: If we invert the limits of an integral, it changes sign: \int_a^bf(x)dx=-\int_b^af(x)dx. Apply the integral of the sine function: \int\sin(x)dx=-\cos(x). Any expression multiplied by 1 is equal to itself. Evaluate the definite integral.