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Popular >

integral of 3^x-4

Solution

\int 3^{x} - 4 d x

Solution

\frac{3 ^{x}}{ln ( 3 )} - 4 x + C

Solution steps

\int 3^{x} - 4 d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int 3^{x} d x - \int 4 d x

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

\int 4 d x = 4 x

= \frac{3 ^{x}}{ln ( 3 )} - 4 x

Add a constant to the solution

= \frac{3 ^{x}}{ln ( 3 )} - 4 x + C

Popular Examples

integral of sqrt(4-r^2)r

\int 4 - r^{2} r d r

integral of 4xy^2

\int 4 x y^{2} d x

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

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

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

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

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

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

Frequently Asked Questions (FAQ)

What is the integral of 3^x-4 ?
The integral of 3^x-4 is (3^x)/(ln(3))-4x+C