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Popular >

integral of 4^{7x}

Solution

\int 4^{7 x} d x

Solution

\frac{2 ^{14 x - 1}}{7 ln ( 2 )} + C

Solution steps

\int 4^{7 x} d x

Simplify

4^{7 x} : 1638 4^{x}

= \int 1638 4^{x} d x

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

= \frac{1638 4 ^{x}}{ln ( 16384 )}

Simplify

\frac{1638 4 ^{x}}{ln ( 16384 )} : \frac{2 ^{14 x - 1}}{7 ln ( 2 )}

= \frac{2 ^{14 x - 1}}{7 ln ( 2 )}

Add a constant to the solution

= \frac{2 ^{14 x - 1}}{7 ln ( 2 )} + C

Popular Examples

limit as x approaches-1 of sqrt(x+5)-2

x \to - 1 lim (x + 5 - 2)

derivative of 5^{x^4}derivative of

5^{x^{4}}

3x^2y+x^3y^'=-7sec^2(x)tan(x)

3 x^{2} y + x^{3} y^{^{'}} = - 7 sec^{2} (x) tan (x)

tangent of f(x)=2x^3-4x+6 tangent of

f (x) = 2 x^{3} - 4 x + 6

integral from 0 to 4 of 0

\int_{0}^{4} 0 d x

Frequently Asked Questions (FAQ)

What is the integral of 4^{7x} ?
The integral of 4^{7x} is (2^{14x-1})/(7ln(2))+C