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Popular >

integral of 2^u

Solution

\int 2^{u} d u

Solution

\frac{2 ^{u}}{ln ( 2 )} + C

Solution steps

\int 2^{u} d u

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

= \frac{2 ^{u}}{ln ( 2 )}

Add a constant to the solution

= \frac{2 ^{u}}{ln ( 2 )} + C

Popular Examples

(dy)/(dx)=((y^2-1))/(x^2-1),y(2)=2

\frac{d y}{d x} = \frac{( y ^{2} - 1 )}{x ^{2} - 1}, y (2) = 2

y^{''}-y^'+289y=17sin(17t)

y^{^{''}} - y^{^{'}} + 289 y = 17 sin (17 t)

integral of 14x-5

\int 14 x - 5 d x

area x=y^4,x=y^5 area

x = y^{4}, x = y^{5}

integral of-2x+6x^2-4x^3+18

\int - 2 x + 6 x^{2} - 4 x^{3} + 18 d x

Frequently Asked Questions (FAQ)

What is the integral of 2^u ?
The integral of 2^u is (2^u)/(ln(2))+C