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Maths-

General

Easy

Question

If $text end text n element of N text and end text 0 less or equal than theta less than pi text end text$ then the value of $stretchy integral subscript 0 end subscript superscript n pi plus theta end superscript vertical line s i n invisible function application x vertical line$ dx is equal to

$2 n c o s θ$
$- 2 n c o s θ$
$2 n + c o s θ + 1$
$2 n - c o s θ + 1$

The correct answer is: $2 n minus c o s invisible function application theta plus 1$

$stretchy integral subscript 0 end subscript superscript n pi plus theta end superscript vertical line s i n invisible function application x vertical line d x equals stretchy integral subscript 0 end subscript superscript n pi end superscript vertical line s i n invisible function application x vertical line d x plus stretchy integral subscript n pi end subscript superscript n pi plus theta end superscript vertical line s i n invisible function application x vertical line d x$
$equals n stretchy integral subscript 0 end subscript superscript pi end superscript vertical line s i n invisible function application x vertical line d x plus stretchy integral subscript 0 end subscript superscript theta end superscript s i n invisible function application x ∣ d x$

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