3. For a function, F(x) = 3x$^2$ - 4x + 5 and integration limits -? to +?, determine the following a. $\int_{-\infty}^{+\infty} F(x)\delta(x) =$ b. $\int_{-\infty}^{+\infty} F(x)\delta(x - 5) =$ c. $\int_{-\infty}^{+\infty} F(x)\delta(3x) =$ d. $\int_{-\infty}^{+\infty} F(x)\delta(x^2 - 36) = $
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∫(8x) dx To integrate 8x, we can use the power rule of integration, which states that the integral of x^n is (1/(n+1))x^(n+1). In this case, n = 1, so the integral of 8x is (1/2)(8x)^2 = 4x^2. b. F(x)(x-5) Show more…
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