Problem 2. Calculate the following antiderivative ∫((ln2(cos3(x)+x))+1)(cos3(x)+x)3cos2(x)sin(x)−1​dx Hint: try the foll

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Problem 2 Calculate The Following Antiderivative Ln2 Cos3 X X 1 Cos3 X X 3cos2 X Sin X 1 Dx Hint Try The Foll 1 (91.28 KiB) Viewed 17 times

Problem 2. Calculate the following antiderivative ∫((ln2(cos3(x)+x))+1)(cos3(x)+x)3cos2(x)sin(x)−1​dx Hint: try the following u-substitutions: u=cos3(x)+x,v=ln(u). Remember that your answer should be a function of x plus an arbitrary constant. Once you find the antiderivative, check your work by derivating the function you found. Pay close attention to the chain rules you are using. Do they have a relation with the u-substitutions?(4 points)