Integrate the function. - dx, x<2 De 10, x2 om (2nd OB. a 1703 12 +0 oc. (4-2) ?. Oo. (1-2) 112* 12y3 3 / 2 + ) 1/2
by trig substitution please 2. Integrate the function. 5 dx 6 + x2 2 D) 2 x +6 2. Integrate the function. 5 dx 6 + x2 2 D) 2 x +6
13. Integrate: a. j«x+278)dx 0 b. (dx х c. dx 9+ x d . xdx? +2 dx 2x+1 хр '(x’+x+3) f. I sin (2x) dx g. cos (3x) dx h. ſ(cos(2x)+ + secº (x))dx i. [V2x+1 dx j. S x(x² + 1) dx k. | xe m. [sec? (10x) dx 16 n. .si dx 1+x 0. 16x 1 + x dx 5 P. STA dx 9. [sec xV1 + tan x dx 14. Given f(x)=5e* - 4 and f(0) =...
Triple Integration Problems. 1. Integrate zdV JJ w where ll' is enclosed by the planes z = 0 and cylinders x2 + y2 4 and x2 + y,: 9 = x+9+ 3 and by the 2. Integrate where E is bounded by the zu-plane and the hemispheres z/9-2y2 and z = V/10-22-27 Change the order of integration and evaluate x3 sin(уз)dydx. 0 Jr2 1. Integrate zdV JJ w where ll' is enclosed by the planes z = 0 and cylinders...
Evaluate the integral. 4) S -2x cos 7x dx Integrate the function. dx (x2+36) 3/2 5) S; 5) Express the integrand as a sum of partial fractions and evaluate the integral. 7x - 10 6) S -dx x² . 44 - 12 6)
10) Integrate f(x, y) = sin (Vx2 + y2) over the region 0 < x2 + y2 = 16
2. Integrate the following expression. (6 marks) sec? x tan x dx 3 + sec2 x
lime (++)*2 10 lim (cosk) 3/2 xoo use IBP to integrate x Sin (5x) dx x sin (25x) dx
9) Find ( 5x+3x+3x dx a) O 5x2 + x3 + x2 + c b) O 5x3 + 2x2 + 3x + c c) O 5x3 + 2.x + 3x + с d) 0 5x + x² + x3 + c 8) Find the most general solution of the differential equation dx C49602 Weight: 1 = 6x2 - 7; given that y = 5, dy = 2, when x = dx o. a) y = PR + 2x + 5...
0 bie 3x2_1 e CX 3x)2 dx 2 esco cos va va dx 3 l sinx sec? (cosx) dx • 7/2 cosx sin (sinx) dx 10 s S; X=(1+2x9) "dx x2 sixe dx @[Cittam bjpecede 8 4+3x sin (lax)