Integrate cosine using u substitution

The video tutorial explains how to handle trigonometric functions in calculus, focusing on the integration of cosine functions. It begins by identifying a common issue with missing numeric values and demonstrates how to adjust the equation to solve it. The process involves substituting variables and performing integration, ultimately leading to the final result. The tutorial emphasizes understanding the steps involved in solving such problems.

What is the initial step in using U-substitution for integrating trigonometric functions?

• Identify the trigonometric function as U

• Integrate directly without substitution

• Multiply by a constant

• Differentiate the trigonometric function

Why is it necessary to manipulate the differential in the substitution process?

• To simplify the trigonometric function

• To change the variable of integration

• To match the integral's requirements

• To eliminate the trigonometric function

What is the purpose of dividing by 5 in the substitution process?

• To eliminate the constant

• To change the variable

• To adjust the differential

• To simplify the equation

What is the integral of cosine of U?

• Sine of U

• Negative cosine of U

• Negative sine of U

• Cosine of U

What is the final step after integrating using U-substitution?

• Re-substitute the original variable

• Multiply by the original function

• Differentiate the result

• Add a constant to the result