Evaluate the integral ∫(sin x)dx. (2022)

Practice Questions

Q1
Evaluate the integral ∫(sin x)dx. (2022)
  1. -cos x + C
  2. cos x + C
  3. sin x + C
  4. -sin x + C

Questions & Step-by-Step Solutions

Evaluate the integral ∫(sin x)dx. (2022)
  • Step 1: Understand that we want to find the integral of sin x with respect to x.
  • Step 2: Recall the basic rule of integration for sine functions: the integral of sin x is -cos x.
  • Step 3: Add the constant of integration, C, because the integral can have many values depending on the constant.
  • Step 4: Write the final answer as -cos x + C.
  • Integration of Trigonometric Functions – This concept involves finding the antiderivative of trigonometric functions, specifically the sine function in this case.
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