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(answered) – 1) Evaluate the integral: (csc 2 (x) + cos(x))dx Every time I

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(answered) – 1) Evaluate the integral: (csc 2 (x) + cos(x))dx Every time IDescriptionSolution downloadThe Question1) Evaluate the integral: ??(csc2(x) + cos(x))dxEvery time I try to solve the problem, i come up with the answer: -(1/cos(x)) (1/sin(x)) – sin(x) + CBut the correct answer is: -cot(x) – sin(x) + C?Here is my work:?(1/sin2(x))dx -??cos(x)dx?u=sin(x)du/cos(x) = dx?(1/u2)(du/cos(x)) – sin(x)(1/cos(x))??(1/u2)du – sin(x)(1/cos(x))(-1/u) – sin(x)-(1/cos(x))(1/sin(x)) – sin(x) + C2) Find the indefinite integral:?? (xe2x?/ (2x+1)2) dxI’m assuming I find the solution by using integration by partsThis is what I came up with:??(x+ (1/2e)/(2x+1))dx + -?((1/2e)/(2x+1)2)dxand this is also where i am stuck