en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of et

Solution

\int e t d t

Solution

\frac{e t ^{2}}{2} + C

Solution steps

\int e t d t

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= e \cdot \int t d t

Apply the Power Rule

: \frac{t ^{2}}{2}

= e \frac{t ^{2}}{2}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{e t ^{2}}{2}

Add a constant to the solution

= \frac{e t ^{2}}{2} + C

Popular Examples

limit as x approaches 0 of (|x|)/(x^2)

x \to 0 lim (\frac{∣ x ∣}{x ^{2}})

integral of 1/(a+bsqrt(x))

\int \frac{1}{a + b x} d x

integral of 1/(7+x^2)

\int \frac{1}{7 + x ^{2}} d x

(e^x+1)(dy)/(dx)=y-ye^x

(e^{x} + 1) \frac{d y}{d x} = y - y e^{x}

limit as x approaches 0 of (cot(x))/x

x \to 0 lim (\frac{cot ( x )}{x})

Frequently Asked Questions (FAQ)

What is the integral of et ?
The integral of et is (et^2)/2+C