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Popular >

integral of (7/3)^x

Solution

\int (\frac{7}{3})^{x} d x

Solution

\frac{7 ^{x}}{ln ( \frac{7}{3} ) \cdot 3 ^{x}} + C

Solution steps

\int (\frac{7}{3})^{x} d x

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

= \frac{( \frac{7}{3} ) ^{x}}{ln ( \frac{7}{3} )}

Simplify

\frac{( \frac{7}{3} ) ^{x}}{ln ( \frac{7}{3} )} : \frac{7 ^{x}}{ln ( \frac{7}{3} ) \cdot 3 ^{x}}

= \frac{7 ^{x}}{ln ( \frac{7}{3} ) \cdot 3 ^{x}}

Add a constant to the solution

= \frac{7 ^{x}}{ln ( \frac{7}{3} ) \cdot 3 ^{x}} + C

Popular Examples

integral of (3sin(2x))/(sin(x))

\int \frac{3 sin ( 2 x )}{sin ( x )} d x

integral of sqrt(1+5^{2x)}

\int 1 + 5^{2 x} d x

integral of x/(3x^2-2)

\int \frac{x}{3 x ^{2} - 2} d x

integral of 3/(4x^2+1)

\int \frac{3}{4 x ^{2} + 1} d x

integral of (x^2-1/(x^2))^3

\int (x^{2} - \frac{1}{x ^{2}})^{3} d x

Frequently Asked Questions (FAQ)

What is the integral of (7/3)^x ?
The integral of (7/3)^x is (7^x)/(ln(7/3)*3^x)+C