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Popular >

integral of (5/4)^x

Solution

\int (\frac{5}{4})^{x} d x

Solution

\frac{5 ^{x}}{ln ( \frac{5}{4} ) \cdot 4 ^{x}} + C

Solution steps

\int (\frac{5}{4})^{x} d x

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

= \frac{( \frac{5}{4} ) ^{x}}{ln ( \frac{5}{4} )}

Simplify

\frac{( \frac{5}{4} ) ^{x}}{ln ( \frac{5}{4} )} : \frac{5 ^{x}}{ln ( \frac{5}{4} ) \cdot 4 ^{x}}

= \frac{5 ^{x}}{ln ( \frac{5}{4} ) \cdot 4 ^{x}}

Add a constant to the solution

= \frac{5 ^{x}}{ln ( \frac{5}{4} ) \cdot 4 ^{x}} + C

Popular Examples

integral of 8x^3-5x^{1/3}+4

\int 8 x^{3} - 5 x^{\frac{1}{3}} + 4 d x

integral of (1000)/x

\int \frac{1000}{x} d x

integral of 5^xx

\int 5^{x} x d x

integral of sin(x)(cos(x)+7)^4

\int sin (x) (cos (x) + 7)^{4} d x

integral of (e^x)/(1+(e^x)^2)

\int \frac{e ^{x}}{1 + ( e ^{x} ) ^{2}} d x

Frequently Asked Questions (FAQ)

What is the integral of (5/4)^x ?
The integral of (5/4)^x is (5^x)/(ln(5/4)*4^x)+C