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In this lesson, we will learn how to find the indefinite integration of trigonometric functions and their applications.
Q1:
Determine οΈ β 8 7 π₯ οΉ β 4 7 π₯ + 6 7 π₯ ο π₯ s e c c o s t a n d 2 .
Q2:
Determine οΈ 2 7 π₯ + 2 1 π₯ 7 π₯ β 9 π₯ π₯ s i n c o s s i n c o s d .
Q3:
Determine οΈ β 1 6 8 π₯ π₯ c o s d 2 .
Q4:
Determine οΈ ( β 7 3 π₯ 3 π₯ ) π₯ c o s t a n d .
Q5:
Determine οΈ οΊ 1 6 3 π₯ β 8 ο π₯ s i n d 2 .
Q6:
Find the function π , if π β² ( π‘ ) = 2 π‘ ( π‘ + 4 π‘ ) s e c t a n s e c , when β π 2 < π‘ < π 2 and π ο» β π 3 ο = β 2 .
Q7:
Determine οΈ β 5 ο ( 4 π₯ + 7 ) + 1 ο π₯ c o t d 2 .
Q8:
Determine οΈ οΌ β 3 π₯ β 3 2 5 π₯ ο π₯ c o s t a n d 2 2 .
Q9:
Determine οΈ ( β 6 π₯ β 5 π₯ ) ( β 5 π₯ + 6 π₯ ) π₯ s i n c o s s i n c o s d β 3 .
Q10:
Determine οΈ οΊ β 3 2 π₯ β 3 2 π₯ ο π₯ s i n c o s d 2 2 4 .
Q11:
Determine οΈ οΊ 9 π₯ + 7 π₯ ο π₯ s i n c o s d 2 2 .
Q12:
Determine οΈ οΌ β 9 π₯ 9 π₯ ο π₯ c o s c s c d .
Q13:
Determine οΈ 4 π₯ ( 6 π₯ ) π₯ c o s l n d .
Q14:
Determine οΈ ο 4 π₯ β 9 οΌ 7 π 6 ο ο π₯ s i n d .
Q15:
Find the equation of the curve given d d s i n c o s π¦ π₯ = ( 6 2 π₯ + 6 2 π₯ ) 2 and π¦ = 4 3 when π₯ = 0 .
Q16:
Determine οΈ ( β 2 ( 4 2 π₯ β 7 2 π₯ ) 2 π₯ ) π₯ s i n t a n c o s d .
Q17:
Determine οΈ β 4 2 π π₯ π₯ β 7 π₯ c o s s i n d .
Q18:
Determine οΈ 1 2 2 π₯ β 2 π₯ c o s d 2 .
Q19:
Determine οΈ 4 ( 5 π₯ β 6 ) π₯ s e c d 2 .
Q20:
Determine οΈ οΉ β 1 1 9 π₯ + 1 1 9 π₯ ο π₯ c o s c o s d 4 2 .
Q21:
Determine οΈ β 3 ο» π₯ 2 β 7 ο π₯ c o s d .
Q22:
Determine οΈ ( 9 3 π₯ 3 π₯ ) π₯ t a n s e c d .
Q23:
Determine οΈ οΉ 2 2 π₯ + 3 ( 7 π₯ + 8 ) ο π₯ s e c c o s d 2 .
Q24:
Determine οΈ β ( 6 π₯ β 2 3 ) π₯ s i n d .
Q25:
Suppose that d d c s c π¦ π₯ = 8 π₯ 2 and π¦ = β 1 2 when π₯ = π 3 . Find π¦ in terms of π₯ .
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