Find f(x), assuming that f(x) ex dx = f(x) e' - 8x-1 ex dx. (Use C for the constant of integration.) Evaluate the integral. (Use C for the constant of integration.) cos 498(3y) sin?(3y) dy
Evaluate the integral -SX cos(x-ve dv dx. Select one: S-1 s(s+1) 1 O b. (s2-1)(s+1) S $3-2+s-1 C 1 O d. $3-$2+5-1 O e. stights+1 S 33+2+3+1 1 f. ܕܨܨܠܨ 53 +52 ++1 S (s2-1)(s-1) 1 (s2-1)(3+1) O h.
L = sa V1 + [f'(x)]?dx = Se 1 + 2 dx dx Examples. Find the length of the arc of the following curves. y = Vx3 fromx = 1 to x = 4 2. y = {(x2 + 2) from x = 0 to x = 3 3. y=*+ from x = 1 to x = 3 (Ans:*) 2x 4. y + from x = 2 to x = 4 8x2 5. y = -x2 - In x from...
Evaluate the integral using integration by parts. e4 Sx x? In (x)dx 1 e 4 S x In (x)dx=0 (Type an exact answer.)
Find the following indefinite integral. Sx-* 9 dx X dx=
MAT 1314 Test 4 7. Given f(x)3x 1 if 3 sx s2. Find each of the following. (a) f-7)
integrate(please show work) 8x S=2 -2°*sinV5 x – 3e *sinv 5 x dx 10x 5 e
17. Find the following anti-derivative: se di- e²dx
7.) If S*f(x)dx = 22 and S, f(x)dx = -14, find the following and clearly show how you arrived at your a. Sº f(x)dx b. 838(x)dx answer
8. Evaluate the indefinite integral: S(5x3 + 2 cos x )dx a. b. S(4x3 – 8x + 7) dx