Section 7.2: Trigonometric Integrals

Question 1

Half-Angle Identity:

sin²x =

Answer 1

sin²x = ¹/₂( 1 - cos 2x )

Question 2

Half-Angle Identity:

cos²x

Question 3

Integral of tanx dx

Answer 3

ln | secx | + C

Question 4

Integral of secx dx

Answer 4

ln | secx + tanx | + c

Question 5

The Identity to evaluate the Integral of

sin mx

Answer 5

sin A cos B = ¹/₂ [sin(A - B) + sin(A + B)]

Question 6

Identity to evaluate the integral of

sin mx sin nx

Answer 6

sin A sin B = ¹/₂ [cos(A - B) - cos(A + B)]

Question 7

Identity to evaluate the integral o

cos mx cos nx

Answer 7

cos A cos B = ¹/₂[cos(A - B) + cos(A + B)]