The area bounded by the curves $f(x) = ce^{x}(c 0)$, the $x$-axis and the two ordinates $x = p$ and $x = q$, is proportional to

Question

The area bounded by the curves $f(x) = ce^{x}(c > 0)$, the $x$-axis and the two ordinates $x = p$ and $x = q$, is proportional to

Dr. Abubacker · Accepted Answer

(b)
Required area $= \int_{q}^{p}{ce^{x}dx}$
$= \left\lbrack ce^{x} \right\rbrack_{q}^{p}$
$= c\lbrack e^{p} - e^{q}\rbrack$
$= f(p) - f(q)$
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Q. The area bounded by the curves $f(x) = ce^{x}(c > 0)$, the $x$-axis and the two ordinates $x = p$ and $x = q$, is proportional to

Explanation

Reviewed by Dr. Abubacker

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