Find the antiderivative F of f that satisfies the given condition. 4-3(1+x^2)^-1 , F(1)=0
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Step 1
The antiderivative of 4 is 4x. To find the antiderivative of -3(1+x^2)^-1, we can use the substitution method. Let u = 1+x^2, then du = 2x dx. This means that dx = du/(2x). Substituting these into the integral, we get: ∫-3(1+x^2)^-1 dx = -3∫u^-1 * du/(2x) = -3/2 Show more…
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