Question

Evaluate: $integral subscript 0 superscript 4 open parentheses open vertical bar straight x close vertical bar plus open vertical bar straight x minus 2 close vertical bar plus open vertical bar straight x minus 4 close vertical bar close parentheses dx$

Name: Wired Faculty - The Best Learning App
Rating: 4.6 (1864 reviews)

Solution

integral subscript 0 superscript 4 open square brackets open vertical bar straight x close vertical bar plus open vertical bar straight x minus 2 close vertical bar plus open vertical bar straight x minus 4 close vertical bar close square brackets dx equals integral subscript 0 superscript 2 straight f left parenthesis straight x right parenthesis dx plus integral subscript 2 superscript 4 straight f left parenthesis straight x right parenthesis dx equals integral subscript 0 superscript 2 left parenthesis straight x minus straight x plus 2 minus straight x plus 4 right parenthesis dx plus integral subscript 2 superscript 4 left parenthesis straight x plus straight x minus 2 minus straight x plus 4 right parenthesis dx equals integral subscript 0 superscript 2 left parenthesis 6 minus straight x right parenthesis dx plus integral subscript 2 superscript 4 left parenthesis straight x plus 2 right parenthesis dx equals open square brackets 6 straight x minus straight x squared over 2 close square brackets subscript 0 superscript 2 plus open square brackets straight x squared over 2 plus 2 straight x close square brackets subscript 2 superscript 4 equals open square brackets 12 minus 2 close square brackets plus open square brackets 8 plus 8 minus 2 minus 4 close square brackets equals 20

For Daily Free Study Material Join wiredfaculty