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Popular >

integral of 1/3-e^t

Solution

\int \frac{1}{3} - e^{t} d t

Solution

\frac{1}{3} t - e^{t} + C

Solution steps

\int \frac{1}{3} - e^{t} 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 \frac{1}{3} d t - \int e^{t} d t

\int \frac{1}{3} d t = \frac{1}{3} t

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

= \frac{1}{3} t - e^{t}

Add a constant to the solution

= \frac{1}{3} t - e^{t} + C

Popular Examples

(\partial)/(\partial x)(-9ysin(3x))

\frac{\partial}{\partial x} (- 9 y sin (3 x))

integral from 5 to 13 of 1/(1+x)

\int_{5}^{13} \frac{1}{1 + x} d x

integral from 6 to infinity of (ln(x))/x

\int_{6}^{\infty} \frac{ln ( x )}{x} d x

derivative of (-1/((x+1)^2))

\frac{d}{d x} (\frac{- 1}{( x + 1 ) ^{2}})

derivative of 2x^2+x derivative of

2 x^{2} + x

Frequently Asked Questions (FAQ)

What is the integral of 1/3-e^t ?
The integral of 1/3-e^t is 1/3 t-e^t+C