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INTEGRAL OF f(x) dx where f(x)=modulos of (x-2)+1

INTEGRAL OF f(x) dx where f(x)=modulos of (x-2)+1

Grade:11

1 Answers

Sher Mohammad IIT Delhi
askIITians Faculty 174 Points
10 years ago

212-1436_untitled.jpg

plot of above function:
the function f(x)
= x-2+1=x-1 for x>2
= -x+2+1=-x+3 for x<2
}

)f(x)dx=)x-1 (between 2 to x(x>2))=(1/2)x^2-x

=)-x+3(between x to 2(x<2))=(1/2)(-x^2)+3x


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