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Popular >

integral of ln(5t)

Solution

\int ln (5 t) d t

Solution

t ln (5 t) - t + C

Solution steps

\int ln (5 t) d t

Apply Integration By Parts

: t ln (5 t) - \int 1 d t

= t ln (5 t) - \int 1 d t

\int 1 d t = t

= t ln (5 t) - t

Add a constant to the solution

= t ln (5 t) - t + C

Graph

Popular Examples

tangent of y=x^2-3x,(3,0)tangent of

y = x^{2} - 3 x, (3, 0)

y^'-3y=4e^{5t},y(0)=5

y^{^{'}} - 3 y = 4 e^{5 t}, y (0) = 5

y-x(dy)/(dx)=3-2x^2(dy)/(dx)

y - x \frac{d y}{d x} = 3 - 2 x^{2} \frac{d y}{d x}

integral of 1/(x(x-8)^2)

\int \frac{1}{x ( x - 8 ) ^{2}} d x

derivative of pix^2y

\frac{d}{d x} (π x^{2} y)

Frequently Asked Questions (FAQ)

What is the integral of ln(5t) ?
The integral of ln(5t) is tln(5t)-t+C