What is area e^x,14e^{-x}+5,x=0 ?

The answer to area e^x,14e^{-x}+5,x=0 is 5ln(7)+6

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area e^x,14e^{-x}+5,x=0

area

e^{x}, 14 e^{- x} + 5, x = 0

5 ln (7) + 6

Decimal Notation

15.72955 \dots

Solution steps

Apply the area formula:

\int_{0}^{l n (7)} e^{x} - (14 e^{- x} + 5) d x

Solve

\int_{0}^{l n (7)} e^{x} - (14 e^{- x} + 5) d x : 5 ln (7) + 6

The area is:

= 5 ln (7) + 6

\int x (4 x^{2} + 8) d x

\int x 1 - x^{4} d x

f (x) = 2 x, at x = 8

\int_{0}^{1} 2 (x^{2} + 1) e^{- x} d x

\int 4 cos (8 x) d x

What is area e^x,14e^{-x}+5,x=0 ?
The answer to area e^x,14e^{-x}+5,x=0 is 5ln(7)+6