# Math Help - integrals

1. ## integrals

is this integrals correct?

1/y+t^2 (dt) = arctan t

what is the correct integral of 1 + y^2?

thanks!

2. Originally Posted by poundedintodust
is this integrals correct?

1/y+t^2 (dt) = arctan t

what is the correct integral of 1 + y^2?

thanks!
$\int \frac{1}{1 + t^2}~dt = atn(t)$

$\int \frac{1}{y + t^2}~dt = \frac{atn(t\sqrt{y})}{\sqrt{y}}$

-Dan

3. Originally Posted by poundedintodust
is this integrals correct?

1/y+t^2 (dt) = arctan t

what is the correct integral of 1 + y^2?

thanks!
$\int \frac{1}{y} + t^2 dt = \frac{t}{y} + \frac{t^3}{3} + C$

$\int 1 + y^2 dy = y + \frac{y^3}{3} + C$

I believe Dan answered what you wanted, but I listed these just in case.

Nevertheless, do not forget adding a constant in for indefinite integrals! $+ C$!