Thanx! Determine int dx/x1/5 + 2 The correct alternative is 5[1/4x4/5 - 2/3x3/5

Question

Thanx!

Determine int dx/x1/5 + 2 The correct alternative is 5[1/4x4/5 - 2/3x3/5 + 4x2/5 - 81/5 + ln |x1/5 + 2|] + k 5[1/4x4/5 - 2/3x3/5 + 2x2/5 - 8x1/5 + 16ln |x1/5 + 2|] + k 5[1/4x4/5 - 1/3x3/5 - 4x2/5 + 81/5 + 16ln |x1/5 + 2|] + k None of the above. Determine the integral int dx/(4 - )3 The correct alternative is - 1/2root 3 (4 - root3 x)2 + k 2root3/ (4 - root3 x)2 + k 1/2root3 1/ (4 - root3 x)2 + k Not one of the above. Let f(x) = -sinx x epsilon [-pi/4, pi/6] The area between the graph of f and the x-axis is given by 2/ - 1/ 1/ - 2/ 2 - Evaluate the area between the curves y = x2 - 6 and y = -|x| The correst answer is 32 units2 -44/3units2 44/3units2 -32 units2 Determine the definite integral ln (log2 t)/ t ln t dt The correct alternative is (ln 2)2/2 - ln (ln 2) ln (ln 2)2 - 2ln2 -2 ln (ln 2) + (ln 2)2/2 (ln 2)2/2 - ln (ln 2) (ln 2) Solve the following initial-value problem for y as a function of x. dy/dx = 2/x2 + 6x + 10 y(0) =0 The correct answer is y = 2 tan-1 (x + 3) - 2 tan-1 (3) y = 2 arctan (x + 3) + 3 arctan(2) y = 2 tan-1 3 + 2 tan (x + 3) Not one of the above.

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