write legibly please!! 9. Evaluate the following definite integrals (1) >> 23 - 3x2 + 5da...
Please answer question #1w and write legibly - it is circled in yellow 1. Evaluate the following limits, where p, q > 0: X COS X - sinx (w) lim x+ 0 x2 sinx
A. Express the limit as a definite integral on the given interval. B. Use the form of the definition of the integral to evaluate the integral. n Š lim n-> Xi Ax, [1, 3] (xi +13 * 2 i=1 3 6 (2x - x2) dx
5. Evaluate the limit: lim expn n! n>00
The graph of the function f(x)=9-x?is given below. Which of the following definite integrals yields the area of the shaded region? 8 5 4 3 2 -5 -4 -3 1 2 3 4 5 X *P(x-6) J xp(23-6) xp(<7-03) »p(x-on »p«.
Vx+1-1 Evaluate: lim x>0 х Please solve it in detail and show all your steps./
Use the residue theorem to compute the next definite integral please don't skip any steps and answer thoroughly cos(a.x) som (a > 0, b>0). (22 +62)2d.t
4. Evaluate the definite integrals: A) |_ In xdx 1 xV1+ ln² x I dx cos x sin x a f / Inx di -d
Evaluate the following integrals. (a) / In(3x) dx for x > 0 (e) / ( +er) dx (n lete* dx (e) sin(5x +1) dx
(1 point) Using polar coordinates, evaluate the integral ST sin(x2 + x>)dA where Ris the region 1 5x2 + y2 549. 1.080
Write the parametric equations x=2siny=4cos0 in the given Cartesian form. y^2/16= with x0. Write the parametric equations x=2sin2y=5cos2 in the given Catesian form. y= with 0x2. Write the parametric equations x=4ety=8e−t as a function of x in Cartesian form. y= with x0. Write the parametric equations x = 2 sin 0, y = 4 cos 0, 0<O< in the given Cartesian form. = with x > 0. 16 Write the parametric equations x = 2 sin’e, y = 5 cos?...