Find the following integral. S* х 6x + 1 dx 6x + 1 dx =
3) Evaluate each indefinite integral. 015(6x?- 2e +2+5)dx bg(Vx-+ 3)dx
solving step by step Find the following indefinite integrals: x+1 dx (a) S *7+7x (b) S(Vx? – 5) dx
Evaluate the definite integral. 5 S (5x2 - 6x +6)dx 0
Evaluate the following integral. + 6x - 1 dx X-X Find the partial fraction decomposition of the integrand. St*6x=1&x=SO dx Evaluate the indefinite integral. S*** + 6x - 1 3 X-X dx =
find the derivation 9. 6x = 5 x2+1
Given that f(x) Vx )x2 -1, find 2 and g (x )x each of the following, if it exists. [2.2] 24. (f - g) (6) 25. (fg) (2) 26. +&)(-1)
Determine the following anti-derivatives: Problem 1: S (2.² + 6x - 5) dx Problem 2: S(cos(x) - sin(x)) do Problem 3: 5 (v + + + 2 **) do Problem 4: S (3e" + ) dx
Please help with each box of the problem. EXAMPLE 5 Evaluate 7x2 - 6x + 16 x3 + 4x dx. Since x3 + 4x = x(x2 + 4) can't be factored further, we SOLUTION write А. Bx + C 7x² - 6x + 16 x(x2 + 4) + Multiplying by x(x2 + 4), we have 7x2 - 6x + 16 = A(x2 + 4) + + Cx + 4A. Equating coefficients, we obtain A + B = 7 C =...
Find the derivative of each one. a. y = (tan(x2 + 1))4 + 5 In Vx b. с. У-(sin x)cos x a. y = (tan(x2 + 1))4 + 5 In Vx b. с. У-(sin x)cos x