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Popular >

integral of e^{ln(x)}

Solution

\int e^{l n (x)} d x

Solution

\frac{x ^{2}}{2} + C

Solution steps

\int e^{l n (x)} d x

Apply log rule:

a^{l o g_{a} (b)} = b

= \int x d x

Apply the Power Rule

: \frac{x ^{2}}{2}

= \frac{x ^{2}}{2}

Add a constant to the solution

= \frac{x ^{2}}{2} + C

Popular Examples

(dy)/(dx)=2sqrt(y+1)cos(x)

\frac{d y}{d x} = 2 y + 1 cos (x)

tangent of (((x+3))/((x-1)))^2 tangent of

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

limit as x approaches 3+of 3x-7

x \to 3 + lim (3 x - 7)

derivative of 5sec(7x)derivative of

5 sec (7 x)

normal of y=3e^x-7x,(0,3)normal of

y = 3 e^{x} - 7 x, (0, 3)

Frequently Asked Questions (FAQ)

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