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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

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

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