roo cos(x) CO Use the Residue Theorem to compute dx -00 X21 CO
roo cos(x) CO Use the Residue Theorem to compute dx -00 X21 CO
20. (4 pts.) Compute the indefinite integral of S x(3 + 5x2)21 dx.
4. (10 total points) (a) (5 points) Compute the iterated integral dx dy (b) (5 points) Compute the double integral /9-2dA R-0,4] x [0,3]
Compute the exact value of the definite integral Z 5 1 x + 1 x dx. simplify your answer.
i want correcrt answer
(1 point) Compute x +2 dx by using the definition of the definte integral with right-hand endpoints (a) Δχ = xt = (cf(x)Ax = (d) Σ f(x)Ax = FL (closed form) x2 +2dx=lin.ITf(xt Al-
(1 point) Compute x +2 dx by using the definition of the definte integral with right-hand endpoints (a) Δχ = xt = (cf(x)Ax = (d) Σ f(x)Ax = FL (closed form) x2 +2dx=lin.ITf(xt Al-
ral Evaluate the following definite real integ IC dx e"- e
ral Evaluate the following definite real integ IC dx e"- e
Problem 3. Evaluate the integral co sinx dx. Hint: Apply residue theorem to the function f(z) = and the contour y of the following shape:
se Green's theorem in order to compute the line integral ∮C(ex2−y3)dx+(sin(y3)+x4)dy∮C(ex2−y3)dx+(sin(y3)+x4)dy where CC is the boundary of the square [0,1]×[0,1][0,1]×[0,1] traversed in the counterclockwise way.
Q3-Evaluate the integral: dx Q4-Evaluate the integral: tan x dx (x + 1)
A2. Split the function f(x) x(sin2 x-x) into odd and even parts. Compute the integral dx f(x) 2 and explain why the odd part of f does not contribute to it.