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ACTIVITY NO. 5 - INVERSE TRIGONOMETRIC FUNCTIONS DIRECTIONS: Evaluate each of the following integrals. Whenever necessary, SHOW YOUR SOLUTIONS and simplify your answers. 1. fcos
ACTIVITY NO. 5 - INVERSE TRIGONOMETRIC FUNCTIONS DIRECTIONS: Evaluate each of the following integrals. Whenever necessary, SHOW YOUR SOLUTIONS and simplify your answers. 1. fcos 1 8xdx 2. V1-e2x dx 3. X V3 1+ x2 dx 2 4. J xvx2-1 dx 5. [ xsec-1(x2) dxLESSON 5 - TRANSCENDENTAL FUNCTIONS: INVERSE TRIGONOMETRIC du T18] = sin -1" + C Va2-u2 du T19] 72 +42 a -tan-14 + C where: u = differentiable function of x du T20] uvu2-a2 = -sec-14 + C a = constant T21] [ sin 1 udu = usin-1 u + V1 -u2 + C T22] [ cos 1 udu = ucos-lu - V1 - u2 + C T23] Stan budu = utan lu -- In (1 + u2) + C T24] [ cot budu = ucot lu + = In (1 + u2) + C T25] [ sec Budu = usec-lu - In (u + Vu2 - 1) + C T26] [ csc-1 udu = ucsc-lu+ In (u + Vu2 -1) + C
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