Transcription of Differentiation Formulas Integration Formulas
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Differentiation Formulas Integration Formulas
Differentiation Formulas Integration Formulas Z. d k=0 (1) dx = x + C (1). dx d [f (x) g(x)] = f 0 (x) g 0 (x) xn+1. Z. (2). dx xn dx = +C (2). n+1. d [k f (x)] = k f 0 (x) (3) Z. dx dx = ln |x| + C (3). d x [f (x)g(x)] = f (x)g 0 (x) + g(x)f 0 (x) (4). dx Z.. d f (x).. g(x)f 0 (x) f (x)g 0 (x) ex dx = ex + C (4). = 2 (5). dx g(x) [g(x)] Z. 1 x d ax dx = a +C (5). f (g(x)) = f 0 (g(x)) g 0 (x) (6) ln a dx Z. d n ln x dx = x ln x x + C (6). x = nxn 1 (7). dx d Z. sin x = cos x (8) sin x dx = cos x + C (7). dx d Z.
Integration Formulas Z dx = x+C (1) Z xn dx = xn+1 n+1 +C (2) Z dx x = ln|x|+C (3) Z ex dx = ex +C (4) Z ax dx = 1 lna ax +C (5) Z lnxdx = xlnx−x+C (6) Z sinxdx = −cosx+C (7) Z cosxdx = sinx+C (8) Z tanxdx = −ln|cosx|+C (9) Z cotxdx = ln|sinx|+C (10) Z secxdx = ln|secx+tanx|+C (11) Z cscxdx = −ln |x+cot +C (12) Z sec2 xdx = tanx+C (13 ...
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