How to take the integral of tangent

The video tutorial explains how to solve an integration problem involving the tangent of X by using the quotient identity to rewrite it as sine over cosine. The instructor then applies the substitution method, setting u equal to cosine of X, and proceeds to integrate the expression. The tutorial concludes with the integration result and a constant of integration.

What identity is used to rewrite the tangent of X in the problem?

• Pythagorean identity

• Quotient identity

• Double angle identity

• Reciprocal identity

In the substitution method, what is the new variable U set to?

• Sine of X

• Secant of X

• Tangent of X

• Cosine of X

What adjustment is made to the differential after substitution?

• It is divided by cosine of X

• It is squared

• It is negated

• It is multiplied by sine of X

What is the result of integrating the expression after substitution?

• Sine of X + C

• Negative cosine of X + C

• Tangent of X + C

• Secant of X + C

What is added to the final result of the integration?

• A factor of cosine

• A factor of sine

• A constant of integration

• A factor of tangent