What is the integral of e^{x/(60)} ?

The integral of e^{x/(60)} is 60e^{x/(60)}+C

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integral of e^{x/(60)}

\int e^{\frac{x}{60}} d x

60 e^{\frac{x}{60}} + C

Solution steps

\int e^{\frac{x}{60}} d x

Apply u-substitution

= \int e^{u} \cdot 60 d u

Take the constant out:

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

= 60 \cdot \int e^{u} d u

Use the common integral:

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

= 60 e^{u}

Substitute back

u = \frac{x}{60}

= 60 e^{\frac{x}{60}}

Add a constant to the solution

= 60 e^{\frac{x}{60}} + C

d er i v a t i v e x^{4} a^{5} + y^{3} a + z^{6}

y^{^{''}} + y = x cos^{3} (x)

d er i v a t i v e sin^{2} (7 x)

\int cos (x) 25 - sin^{2} (x) d x

d er i v a t i v e f (t) = (9 t + 2)^{\frac{2}{3}}

What is the integral of e^{x/(60)} ?
The integral of e^{x/(60)} is 60e^{x/(60)}+C