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Popular >

integral of (7/5)^x

Solution

\int (\frac{7}{5})^{x} d x

Solution

\frac{7 ^{x}}{ln ( \frac{7}{5} ) \cdot 5 ^{x}} + C

Solution steps

\int (\frac{7}{5})^{x} d x

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

= \frac{( \frac{7}{5} ) ^{x}}{ln ( \frac{7}{5} )}

Simplify

\frac{( \frac{7}{5} ) ^{x}}{ln ( \frac{7}{5} )} : \frac{7 ^{x}}{ln ( \frac{7}{5} ) \cdot 5 ^{x}}

= \frac{7 ^{x}}{ln ( \frac{7}{5} ) \cdot 5 ^{x}}

Add a constant to the solution

= \frac{7 ^{x}}{ln ( \frac{7}{5} ) \cdot 5 ^{x}} + C

Graph

Popular Examples

integral of-5x^{-2}

\int - 5 x^{- 2} d x

integral of 8xsqrt(x)

\int 8 x x d x

integral of (x-1)^2(x+2)

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

integral of x^5*e^{x^6}

\int x^{5} \cdot e^{x^{6}} d x

integral of 3/(xsqrt(ln(x)))

\int \frac{3}{x ln ( x )} d x

Frequently Asked Questions (FAQ)

What is the integral of (7/5)^x ?
The integral of (7/5)^x is (7^x)/(ln(7/5)*5^x)+C