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Popular >

integral of 2^{5x}

Solution

\int 2^{5 x} d x

Solution

\frac{3 2 ^{x}}{5 ln ( 2 )} + C

Solution steps

\int 2^{5 x} d x

Simplify

2^{5 x} : 3 2^{x}

= \int 3 2^{x} d x

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

= \frac{3 2 ^{x}}{ln ( 32 )}

Simplify

ln (32) : 5 ln (2)

= \frac{3 2 ^{x}}{5 ln ( 2 )}

Add a constant to the solution

= \frac{3 2 ^{x}}{5 ln ( 2 )} + C

Popular Examples

tangent of y=x^2-7,(3,2)tangent of

y = x^{2} - 7, (3, 2)

integral of e^{10x}

\int e^{10 x} d x

(\partial)/(\partial y)(xy^3)

\frac{\partial}{\partial y} (x y^{3})

(\partial)/(\partial x)(xy^4)

\frac{\partial}{\partial x} (x y^{4})

integral of ((2x^2+9x+2))/((x^2+1)^2)

\int \frac{( 2 x ^{2} + 9 x + 2 )}{( x ^{2} + 1 ) ^{2}} d x

Frequently Asked Questions (FAQ)

What is the integral of 2^{5x} ?
The integral of 2^{5x} is (32^x)/(5ln(2))+C