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Popular >

integral of e^{ln(t)}

Solution

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

Solution

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

Solution steps

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

Apply log rule:

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

= \int t d t

Apply the Power Rule

: \frac{t ^{2}}{2}

= \frac{t ^{2}}{2}

Add a constant to the solution

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

Popular Examples

integral of-cot(x)

\int - cot (x) d x

integral of (35)/(x^3-27)

\int \frac{35}{x ^{3} - 27} d x

area y=x^3-10x^2+16x,y=-x^3+10x^2-16x area

y = x^{3} - 10 x^{2} + 16 x, y = - x^{3} + 10 x^{2} - 16 x

y^'=((xy^3))/(sqrt(1+x^2))

y^{^{'}} = \frac{( x y ^{3} )}{1 + x ^{2}}

limit as x approaches 0 of x^2e^{cos(1/x)}

x \to 0 lim (x^{2} e^{c o s (\frac{1}{x})})

Frequently Asked Questions (FAQ)

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