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Popular >

integral of 4e^u

Solution

\int 4 e^{u} d u

Solution

4 e^{u} + C

Solution steps

\int 4 e^{u} d u

Take the constant out:

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

= 4 \cdot \int e^{u} d u

Use the common integral:

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

= 4 e^{u}

Add a constant to the solution

= 4 e^{u} + C

Popular Examples

derivative of (3x^2-4x)/(sqrt(x))derivative of

\frac{3 x ^{2} - 4 x}{x}

integral of x+sqrt(x)

\int x + x d x

tangent of f(x)=3x+2/x ,\at x=2 tangent of

f (x) = 3 x + \frac{2}{x}, at x = 2

(dy)/(dx)+7x^6y=x^6

\frac{d y}{d x} + 7 x^{6} y = x^{6}

derivative of (2x+4x^2)/((1+4x)^2)derivative of

\frac{2 x + 4 x ^{2}}{( 1 + 4 x ) ^{2}}

Frequently Asked Questions (FAQ)

What is the integral of 4e^u ?
The integral of 4e^u is 4e^u+C