Make a u-substitution and integrate from u(a) to u(b). x/20 5 tan 5x sec25x dx 15...
integrate. state du and u a) tan(4x sec (4x)dr dx r +1 b) dx x +1 c) csc (3xax a) tan(4x sec (4x)dr dx r +1 b) dx x +1 c) csc (3xax
lime (++)*2 10 lim (cosk) 3/2 xoo use IBP to integrate x Sin (5x) dx x sin (25x) dx
2. Integrate the following expression. (6 marks) sec? x tan x dx 3 + sec2 x
Integrate ve 2e22 (e22 da using U-substitution: 50 U = du dx Substitution gives du Integration yields The final answer is
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
Integrate each of the following analytically) - Using U substitution All Steps and Proper Notation MUST be SHOWN - All questions are 2 points cach 1 S 2x3 e3x* dx 2 1 272 8x dx Integrate each of the following (analytically) - Using U substitution All Steps and Proper Notation MUST be SHOWN S (1 - x)/x dx 4) SVx3 + 2 (x2) dx Integrate each of the following (analytically) - Using U substitution All Steps and Proper Notation MUST...
integrate with your best choice (substitution rule, by parts, or partial fractions) d) ( z*In(a)dx e) / ** +20 – 12 I x(x2 - 1 dx
Evaluate the integral sec 2(7x-2) dx Determine a change of variables from x to u. Choose the correct choice below. O A. u= sec (7x - 2) tan (7x - 2) O B. u=tan (7x-2) O c. u= sec (7x - 2) OD. u = 7x-2 Write the integral in terms of u. sec?(7x+2) dx = S du Evaluate the integral sec2(7x-2) dx = 0
By using u substitution Find fav? + 1dc by using substitution. 1. Let u= 2. Then du = 3. Solve for a from part "1". x2 = (Answer needs to be in terms of u and du. ) 5. integrate, leave in terms of u. 4. Make the substitution into the integral. po vo? + ide = f"x++ido I 6. Change your answer in 5 so that it is in terms of a 1dx =
1. Begin by making the substitution u=ex . The resulting integral should be ripe for a trig substitution. 2. Make a choice of trig substitution based on the ±a2±b2u2 term you see after the substitution. With the right choice, after substituting and rewriting using sin/cos, you should again have something fairly nice to solve as a trig integral. 3. The substitution sin(2θ)=2sin(θ)cos(θ) is useful after you integrate. 4. Don’t forget to back substitute (through several substitutions!) until everything is in...