Integrate cos^2x + cosx + sin^2x + 3 with respect to x

Step 1: simplify the question using the law cos²x + sin²x = 1 /// Step 2: add the numbers /// Step 3: integrate cosx (remember the differentiation/integration circle sin --> cos --> -sin --> -cos /// Step 4: integrate the number /// Step 5: add +c because it's an indefinite integral /-/-/-/-/-/-/ Solutions: cos²x + cosx + sin²x + 3 >> cosx + 4 >> sinx +4x +c