by trig substitution please 2. Integrate the function. 5 dx 6 + x2 2 D) 2 x +6 2. Integrate the function. 5 dx 6...
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)
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
Integrate. Show any substitution that you use. 74 dx 1 - x2
Integrate dx/xsqrt(4-x^2) using trigonometric substitution
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
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 the function. 9- ܐܢ dx x $-:. ܐ,O 31nr 0 3 9 + 0 [x2 9 3 sin x|ܚ + C 3 {x2 -9 3 ܕ ܘ€ 3 +C x2 -9 sec- 9 +
Make a u-substitution and integrate from u(a) to u(b). x/20 5 tan 5x sec25x dx 15 x/20 5 tan 5x sec 25x dx = [] (Simplify your answer.) -115
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...
integrate(please show work) 8x S=2 -2°*sinV5 x – 3e *sinv 5 x dx 10x 5 e