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Popular >

integral of 8e^t-5

Solution

\int 8 e^{t} - 5 d t

Solution

8 e^{t} - 5 t + C

Solution steps

\int 8 e^{t} - 5 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 8 e^{t} d t - \int 5 d t

\int 8 e^{t} d t = 8 e^{t}

\int 5 d t = 5 t

= 8 e^{t} - 5 t

Add a constant to the solution

= 8 e^{t} - 5 t + C

Popular Examples

derivative of (8x^2+18x)/((9+8x)^2)derivative of

\frac{8 x ^{2} + 18 x}{( 9 + 8 x ) ^{2}}

derivative of x^{1/6}derivative of

x^{\frac{1}{6}}

derivative of-x^2+13x-22

\frac{d}{d x} (- x^{2} + 13 x - 22)

integral of e^{t-st}

\int e^{t - s t}

slope of g(x)=10xe^{3-x^2}slope

g (x) = 10 x e^{3 - x^{2}}

Frequently Asked Questions (FAQ)

What is the integral of 8e^t-5 ?
The integral of 8e^t-5 is 8e^t-5t+C