Evaluate the following integrals.
Evaluate the following integrals. S 5x-2 dx x2-4 s 9x+25 (x+3)2 dx 2 x3+3x2-4x-12 dx x2+x-6
Evaluate the integrals. 3x2 - 4x+7 dx (x2–2)2
(2) Calculate the following integrals: х 2.x3 – 4x + 3 -dx (x + 1)2(x2 +1) Java 2 - 25 2 dx x4V x2 – 25 (3) Explain why, using the techniques we've learned so far, we are able to calculate the integral of any rational function. (A rational function is one of the form p(x) where g(x2) p and q are polynomials.)
Problem 2. Evaluate each of the following integrals. a) In(4x) dx 1 4x+1 dx ex b) Jo c) S (5x-2)e 6x dx
Evaluate the following integrals Evaluate the following integrals: 3 1 32/2 7 (i) dx 6°2712 dx x²x² + 4 (4x² +9312
208 and 212 please ❤️ Evaluate the following integrals, which have irreducible quadratic factors. 207. 2 -dx (x – 4) (x2 + 2x + 6) s . x2 208. -dx x3 – x2 + 4x - 4 209. x3 + 6x2 + 3x + 6 -dx x3 + 2x2 _ - 210. -dx (x - 1)(x2 + 2x + 2) Use the method of partial fractions to evaluate the following integrals. 3x + 4 211. -dx (x2 + 4) (3...
Question 2 (Learning Outcome 2) 0 S (*x+3) dx S A) Evaluate the following integrals. 4x+7 2x+5) 5x2–2x+3 (ii) dx (x2+1)(x-1) x2+x+2 (iii) S3x3 –x2+3x+1 dx dx (x+1)V-x-2x In (x) dx (iv) S x2 X+1 (vi) S dx (1+x2) (vii) S dx x(x+Inx) (viii) Stancos x) dx (ix) 30 Sin3 e*(1 + e*)1/2 dx dx 2 sin x cos x (x) S B) Find the length of an arc of the curve y =*+ *from x = 1 to x...
Evaluate the following integral. X2 + 16x-4 S*** dx x2 - 4x Find the partial fraction decomposition of the integrand. 1 * +18 x2 + 16x-4 dx = x² - 4x JOdx Evaluate the indefinite integral. *x? + 16x-4 dx = 3 х - 4x
Multiple Choice: 1. Simplify "1-2x-x+5x-3x2+15+x3 a) x3-4x2+3x -1 (b) x2-4x2 +3x +1 (c) x3-4x-3x +1 (d)+4x +3x +1 2. Expand "logly' x3 a) 2(Logly)+3logx)) ( (d) 2logl)+3loglv) (b) 3log(x) 2logly) (c) 6log(x)logly) 3. quals 5 (b) 55 (c) 64 (d) 10 a) 62
Evaluate 1) S(285- 783 +5) dx A) Žx6.** +8x+C c) 5x6-7x+ +5x+C B) 6x6.7** +5x+C D) 6x6_*** +5x+C 2) S (16 + ett) di ay + c tett c over the c Find the integral. 3) S (5x - 3)2 dx A) 3x3 - 15x2 +9x+C c) *_x3 - 15x2 +9x +C B) {x2 + 9x + c D) * x3 +9x+C Solve the problem. 4) Suppose that a velocity function is given by v(t) - 81. Find the position...
Evaluate the integrals. Please show each step clearly. Thanks! :) 1) Evaluate the following integrals. You must show your work. If an integral does not converge, show why. a. st x2 - 4x – 1 dx x3 + x 10 b. 5 - dx (x - 2)3 c. .00 15x2 + 6 dx (5x3 + 6x)3