Question: Evaluate the integral ∫(sin x)dx. (2022)
Options:
-cos x + C
cos x + C
sin x + C
-sin x + C
Correct Answer: -cos x + C
Exam Year: 2022
Solution:
The integral of sin x is -cos x + C.
Evaluate the integral ∫(sin x)dx. (2022)
Practice Questions
Q1
Evaluate the integral ∫(sin x)dx. (2022)
-cos x + C
cos x + C
sin x + C
-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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