what is antiderivative of (5sinx+3tanx)?

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what is antiderivative of (5sinx+3tanx)?

2007-12-06 14:21:58 · 5 answers · asked by soccerbreeee03 2 in Science & Mathematics ➔ Mathematics

5 answers

It's important to note that the derivative of tan(x) is the *natural* log of cos(x) (not just base 10).
Therefore, the answer should be:
-5cos(x) - 3ln|cos( x )| + C
and not as above.

2007-12-06 14:33:34 · answer #1 · answered by Anonymous · 0⤊ 0⤋

antiderivative of (5sinx + 3tanx) = -- 5cosx + 3 log(secx) + A

2007-12-06 22:32:54 · answer #2 · answered by sv 7 · 0⤊ 0⤋

-5 cos x - 3 log|cos x| + C

2007-12-06 22:27:08 · answer #3 · answered by steiner1745 7 · 0⤊ 0⤋

Int ( 5sin(x) + 3tan(x) )
Int ( 5sin(x) ) + Int( 3tan(x) )
5Int ( sin(x) ) + 3Int( tan(x) )
-5cos(x) + 3log( cos( x ) ) + C

2007-12-06 22:29:54 · answer #4 · answered by Anonymous · 0⤊ 0⤋

hard

2007-12-06 22:25:04 · answer #5 · answered by Anonymous · 0⤊ 1⤋