Evaluate the double integral 10 π/4 Sketch the region R. 61" R f(r, 0) dA. e) da. sin(0) cos(0) dr de л/2

Q: 3. Evaluate f 2 arctan (2) dx + ln(x² + y²)dy where C is defined by x = 4 + 2 cos 0 and y = 4 sin 0.

A: Let   and…

Q: 06. Evmlete the integral 7sin (a)+ 7sin(2)tan? (x) de secz (x)

A: Integrated by substitutions

Q: 8. Evaluate the integral. 2 2 (a) S(4x°. 3x + 2x)dx - 1 4 4+6u (b) S(ou)du Vu 1

A: Using rules of integration & formulae of integration.

Q: Find the area inside both r = 2 sin(20), r = 2 cos 0

A:

Q: Evaluate the integral J dæ using trig substitution. 22-9 O 3 sec 0 O 1 v 2-9 +C O cos e +C

A: Consider the given integral: ∫1x2x2-9dx Substitute x=3secu Then, dx=3secutanudu Hence integral…

Q: 1:25 < Back Pulse From 28.6: Inverse Trigonometric Forms 26) Integrate: S 4x dx 1+x4 27) Integrate…

A: ( If you have any questions related to this problem please feel free to ask me).

Q: 4) Find the area of the region enclosed by the curves y = sin(x), y = cos (x), X = 0 and x = 2π 5)…

A:

Q: S cos(s )dtds

A: GIVEN DATA : Integral ∫01∫0s2coss3dtds Let the given integral is I=∫01∫0s2coss3dtds Integrate the…