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Popular >

integral of 9e^x

Solution

\int 9 e^{x} d x

Solution

9 e^{x} + C

Solution steps

\int 9 e^{x} d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 9 \cdot \int e^{x} d x

Use the common integral:

\int e^{x} d x = e^{x}

= 9 e^{x}

Add a constant to the solution

= 9 e^{x} + C

Popular Examples

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

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

derivative of f(x)=(x+2)/(x-1)derivative of

f (x) = \frac{x + 2}{x - 1}

integral of cot^5(θ)sin^4(θ)

\int cot^{5} (θ) sin^{4} (θ) d θ

limit as x approaches 0 of x^6cos(7/x)

x \to 0 lim (x^{6} cos (\frac{7}{x}))

derivative of (16cx-4x^2^{1/2})

\frac{d}{d x} ((16 c x - 4 x^{2})^{\frac{1}{2}})

Frequently Asked Questions (FAQ)

What is the integral of 9e^x ?
The integral of 9e^x is 9e^x+C