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Popular >

integral of 4^k

Solution

\int 4^{k} d k

Solution

\frac{2 ^{2 k - 1}}{ln ( 2 )} + C

Solution steps

\int 4^{k} d k

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

= \frac{4 ^{k}}{ln ( 4 )}

Simplify

\frac{4 ^{k}}{ln ( 4 )} : \frac{2 ^{2 k - 1}}{ln ( 2 )}

= \frac{2 ^{2 k - 1}}{ln ( 2 )}

Add a constant to the solution

= \frac{2 ^{2 k - 1}}{ln ( 2 )} + C

Popular Examples

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f (θ) = \frac{sin ( θ )}{1 + cos ( θ )}

derivative of 2x^3+15x^2-84x+10

\frac{d}{d x} (2 x^{3} + 15 x^{2} - 84 x + 10)

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limit as x approaches 0+of xn(x)

x \to 0 + lim (x n (x))

derivative of (pi-2x^2)

\frac{d}{d x} ((π - 2 x)^{2})

Frequently Asked Questions (FAQ)

What is the integral of 4^k ?
The integral of 4^k is (2^{2k-1})/(ln(2))+C