Question

stketch the graph f(x)=1+2^x?
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Answer 1

Answer:

For x<1 f(x)=1−x+2 i.e f(x)=3−x

for 2≥x≥1 f(x)=x+1

for x>1 f(x)=x2−2

Intefration angles to the area under the curve.

∴ ∫04f(x)

 ∫013−x+∫12x+1+∫42x2−2

=59/3