What is the integral of (sec^2(3)sqrt(t))/(sqrt(t)) ?

The integral of (sec^2(3)sqrt(t))/(sqrt(t)) is sec^2(3)t+C

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integral of (sec^2(3)sqrt(t))/(sqrt(t))

\int \frac{sec ^{2} ( 3 ) t}{t} d t

sec^{2} (3) t + C

Solution steps

\int \frac{sec ^{2} ( 3 ) t}{t} d t

Cancel the common factor:

t

= \int sec^{2} (3) d t

Integral of a constant:

\int a d x = a x

= sec^{2} (3) t

Add a constant to the solution

= sec^{2} (3) t + C

y = \frac{6 x ^{2} + 2 x + 2}{x}

\frac{d}{d x} (ln (4 x^{3} - x^{2}))

\frac{\partial}{\partial y} (x e^{x - y})

y^{^{''}} + 4 y^{^{'}} + 24 y = 0

x \to 1 lim (x^{2} + 5 x - 6)

What is the integral of (sec^2(3)sqrt(t))/(sqrt(t)) ?
The integral of (sec^2(3)sqrt(t))/(sqrt(t)) is sec^2(3)t+C