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Popular >

integral of 5^t

Solution

\int 5^{t} d t

Solution

\frac{5 ^{t}}{ln ( 5 )} + C

Solution steps

\int 5^{t} d t

\int a^{x} d x = \frac{a ^{x}}{ln a}

= \frac{5 ^{t}}{ln ( 5 )}

Add a constant to the solution

= \frac{5 ^{t}}{ln ( 5 )} + C

Popular Examples

integral of 1/(u^2+xu)

\int \frac{1}{u ^{2} + xu} d u

integral from 0 to 1 of 1-2x-3x^2

\int_{0}^{1} 1 - 2 x - 3 x^{2} d x

(dy)/(dx)y=(4x-7)^2

\frac{d y}{d x} y = (4 x - 7)^{2}

slope of (7,5),(3,2)slope

(7, 5), (3, 2)

limit as x approaches 0 of (1-cos(ax))/(x^2)

x \to 0 lim (\frac{1 - cos ( a x )}{x ^{2}})

Frequently Asked Questions (FAQ)

What is the integral of 5^t ?
The integral of 5^t is (5^t)/(ln(5))+C