Question: Find the integral of sin(x) with respect to x. (2020)
Options:
-cos(x) + C
cos(x) + C
sin(x) + C
-sin(x) + C
Correct Answer: -cos(x) + C
Exam Year: 2020
Solution:
The integral of sin(x) is -cos(x) + C.
Find the integral of sin(x) with respect to x. (2020)
Practice Questions
Q1
Find the integral of sin(x) with respect to x. (2020)
-cos(x) + C
cos(x) + C
sin(x) + C
-sin(x) + C
Questions & Step-by-Step Solutions
Find the integral of sin(x) with respect to x. (2020)
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 function: the integral of sin(x) is -cos(x).
Step 3: Add the constant of integration, C, because the integral can have many solutions that differ by a 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 how to integrate sine and cosine functions.
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