anonymous
  • anonymous
Find the indefinite integral of (5cosx-2sec^2x)dx
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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amistre64
  • amistre64
who lost it?
amistre64
  • amistre64
its a sum so we could just find the int of each term
amistre64
  • amistre64
sec^2 might be tricky tho

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amistre64
  • amistre64
tan goes to sec^2 tho so not all that tricky
Mr.Math
  • Mr.Math
Does "goes to" mean "is the integral of"?
amistre64
  • amistre64
derivatives are down to me; and ints are up; tan goes down to sec^2 in my mind
Mr.Math
  • Mr.Math
Hmm interesting :-D
amistre64
  • amistre64
might be the power thing; x^3 does down a degree ...
amistre64
  • amistre64
5cos goes up to 5sin -2sec^2 goes up to -2tan then we tack on the +C for indefininity
anonymous
  • anonymous
I can't get it... :/ I know the integral of cosine is sinx+c and the derivative of sec^2x is tanx+c
anonymous
  • anonymous
*integral
amistre64
  • amistre64
then thats it; the +Cs just merge into some uber constant
amistre64
  • amistre64
\[\int (5cos(x)-2sec^2(x))dx\] \[\int (5cos(x))dx-\int (2sec^2(x))dx\] \[5sin(x)+c_1-2tan(x)+c_2\] \[5sin(x)+-2tan(x)+C\]
anonymous
  • anonymous
THANKS!
amistre64
  • amistre64
yw

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