Integrating Trigonometric Functions

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1. I s space t h e space f o l l o w i n g space s t a t e m e n t space t r u e space o r space f a l s e ? integral left parenthesis fraction numerator 4 over denominator 5 cos e c x end fraction plus 7 right parenthesis d x equals integral left parenthesis fraction numerator 4 over denominator 5 cross times begin display style fraction numerator 1 over denominator sin x end fraction end style end fraction plus 7 right parenthesis d x equals integral left parenthesis 4 over 5 sin x plus 1 right parenthesis d x equals minus 4 over 5 cos x plus x plus C

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Integrating Trigonometric Functions - Quiz

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2. integral cos x space d x equals sin x plus CWhat does the 'C' stand for?

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3. Is this true or false?  integral left parenthesis fraction numerator sin x over denominator 3 end fraction plus 2 cos x right parenthesis d x equals 1 third cos x minus 2 sin x plus C

Explanation

minus 1 third cos x plus 2 sin x plus C
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4. integral 3 s e c squared x space d x

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5. E v a l u a t e space integral subscript 0 superscript 1 left parenthesis 2 over 3 sin x plus 5 right parenthesis d x W r i t e space t o space 1 d. p

Explanation

equals left square bracket minus 2 over 3 cos x plus 5 x right square bracket equals presubscript 0 presuperscript 1 left parenthesis minus 2 over 3 cos 1 plus 5 right parenthesis minus left parenthesis minus 2 over 3 cos 0 right parenthesis equals 5.0
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6. Fill in the following:integral sin x space d x equals _ _ _ _ space plus space C

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What does the 'C' stand for?
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