Learn how to integrate u substitution with trig

Learn how to integrate u substitution with trig

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial covers U-substitution in trigonometry, focusing on integrating secant U times tangent U. It begins with an introduction to the concept, followed by defining U and DU. The integration process is explained step-by-step, and the tutorial concludes with tips for reviewing the material.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in identifying a function for u-substitution?

Integrating the entire expression

Setting the derivative equal to zero

Identifying a function within a function

Finding the derivative of the outer function

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When adjusting the differential, what is necessary if you have a negative sign?

Add a positive constant

Ignore the negative sign

Multiply by zero

Factor out the negative sign

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the integral of secant U tangent U?

Secant U

Tangent U

Cosine U

Sine U

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the derivative of secant Theta?

Tangent Theta

Sine Theta

Cosine Theta

Secant Theta times Tangent Theta

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is it important to review these concepts before a test?

They are not relevant to the test

They are only used in advanced mathematics

They are fundamental for understanding calculus

They are rarely used in exams