What is the integral of 4e^{t/(50)} ?

The integral of 4e^{t/(50)} is 200e^{t/(50)}+C

Popular >

integral of 4e^{t/(50)}

\int 4 e^{\frac{t}{50}} d t

200 e^{\frac{t}{50}} + C

Solution steps

\int 4 e^{\frac{t}{50}} d t

Take the constant out:

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

= 4 \cdot \int e^{\frac{t}{50}} d t

Apply u-substitution

: \int e^{u} \cdot 50 d u

= 4 \cdot \int e^{u} \cdot 50 d u

Take the constant out:

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

= 4 \cdot 50 \cdot \int e^{u} d u

Use the common integral:

\int e^{u} d u = e^{u}

= 4 \cdot 50 e^{u}

Substitute back

u = \frac{t}{50}

= 4 \cdot 50 e^{\frac{t}{50}}

Simplify

= 200 e^{\frac{t}{50}}

Add a constant to the solution

= 200 e^{\frac{t}{50}} + C

\int \frac{2 π ( ln ( t ) ) ^{2}}{t} d t

\int sin (\frac{1}{2}) y d y

\int \frac{x}{( x ^{2} + a ^{2} )} d x

\int e^{t^{3}} t^{2} d t

\int \frac{1 - y ^{2}}{1 + y ^{2}} d y

What is the integral of 4e^{t/(50)} ?
The integral of 4e^{t/(50)} is 200e^{t/(50)}+C