Evaluate the definite integral _ 0 ^ e^ -5x dx

MATHEMATICS · Subjective · AP · Calculus BC · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

Evaluate the definite integral

\int_{0}^{\infty} e^{-5x} dx,

which represents the area under the curve

y = e^{-5x}

above the

x

-axis for

x \ge 0