Question

Find the indefinite integral of (5cosx-2sec^2x)dx

Answer 1

who lost it?

Answer 2

its a sum so we could just find the int of each term

Answer 3

sec^2 might be tricky tho

Answer 4

tan goes to sec^2 tho so not all that tricky

Answer 5

Does "goes to" mean "is the integral of"?

Answer 6

derivatives are down to me; and ints are up; tan goes down to sec^2 in my mind

Answer 7

Hmm interesting :-D

Answer 8

might be the power thing; x^3 does down a degree ...

Answer 9

5cos goes up to 5sin

-2sec^2 goes up to -2tan

then we tack on the +C for indefininity

Answer 10

I can't get it... :/
I know the integral of cosine is sinx+c and the derivative of sec^2x is tanx+c

Answer 11

*integral

Answer 12

then thats it; the +Cs just merge into some uber constant

Answer 13

\[\int (5cos(x)-2sec^2(x))dx\]
\[\int (5cos(x))dx-\int (2sec^2(x))dx\]
\[5sin(x)+c_1-2tan(x)+c_2\]
\[5sin(x)+-2tan(x)+C\]

Answer 14

THANKS!

Answer 15

yw