Find the area bounded by the curve y = e − x , the X-axis and the Y-axis Options: A . &nbsp34 unit2 B . &nbsp12 unit2 C . &nbsp1 unit2 D . &nbspNone of these

Answer: Option C : C The required area is ∫ ∞ 0 e − x d x = − e − x | ∞ 0 = − 1 e ∞ − [ − 1 e ∘ ] = -0 + 1 = 1

Find the area bounded by the curve y=e−x, the X-axis and the Y-axis

Question

Find the area bounded by the curve

y = e^{- x}

, the X-axis and the Y-axis

Options:

A . 34 unit2

B . 12 unit2

C . 1 unit2

D . None of these

Answer: Option C
:
C

The required area is

\int_{0}^{\infty} e^{- x} d x

- e^{- x} |_{0}^{\infty}

\frac{- 1}{e^{\infty}} - [- \frac{1}{e^{\circ}}]

= -0 + 1
= 1

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