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Popular >

integral from 0 to t of e^t-1

Solution

\int_{0}^{t} e^{t} - 1 d t

Solution

e^{t} - 1 - t

Solution steps

\int_{0}^{t} e^{t} - 1 d t

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{0}^{t} e^{t} d t - \int_{0}^{t} 1 d t

\int_{0}^{t} e^{t} d t = e^{t} - 1

\int_{0}^{t} 1 d t = t

= e^{t} - 1 - t

Popular Examples

integral from-3 to 2 of |x|

\int_{- 3}^{2} ∣ x ∣ d x

integral from 1 to 3 of (-x^2+4x-1)

\int_{1}^{3} (- x^{2} + 4 x - 1) d x

integral from 0 to 1 of (x^2+x^6)

\int_{0}^{1} (x^{2} + x^{6}) d x

integral from 1 to sin(x) of 7x^6

\int_{1}^{s i n (x)} 7 x^{6} d x

integral from 0 to 1 of ye^{-y}

\int_{0}^{1} y e^{- y} d y

Frequently Asked Questions (FAQ)

What is the integral from 0 to t of e^t-1 ?
The integral from 0 to t of e^t-1 is e^t-1-t