1. Evaluate the following integrals: 8. x(2x + 3)dx b.
evaluate the integrals Evaluate the inte integrals: a. Stsec at at 72 C: X.COS. T dx dx. b. Luxe 2x (1+2x)? d. frinrar
Determine if the improper integrals are convergent or divergent. Prove it . + 2 ** I'; I0 1 + r2 + XP ln(1 + x) dx 0
Determine the following integrals T Sin(x) 1 + x² dx 2). xe 2x dx Idy dx + P(x) y = Q(x) integration factor Solve dy Ex dx sinx the following differenti al equations ... + 3y t? dy F) (l+x) dx +y=vx V: eSP(x) dicas
show work Evaluate the following integrals. + 2x) dx a/(v + te 5 / (54e + ) de [ 122c" dz c) Upload Choose a File
3. Use the u-substitution method to calculate the following indefinite Integrals a. S(x2 - 4)2x dx u= b. Sx?e**dx u= dur C. Sx sinx? dx U= dus
Express the integrand as a sum of partial fractions and evaluate the integrals. x+8 -dx 2x3 - 8x Rewrite the integrand as the sum of partial fractions. x+8 2x - 8x Evaluate the integrals. X+8 -dx = 2x3 - 8x
Determine whether the integral is convergent or divergent. 19379 dx convergent O divergent If it is convergent, evaluate it. (If the quantity diverges, enter DIVERGES.) Determine whether the integral is convergent or divergent. 19379 dx convergent O divergent If it is convergent, evaluate it. (If the quantity diverges, enter DIVERGES.)
1) Determine whether the integral is convergent or divergent. ? 71 ex e2x + 3 dx 0 It reads the intergral is infinity on top and 0 on bottom. It is 71* e^x/e^2x+ 3 convergentdivergent If it is convergent, evaluate it. (If the quantity diverges, enter DIVERGES.) 2) Determine whether the integral is convergent or divergent. ? 3 sin2? d? 0 (infintiy on top, ? = alpha) convergentdivergent If it is convergent, evaluate it. (If the quantity diverges, enter DIVERGES.)...
Determine whether the integral is convergent or divergent. integral_-infinty^0 1/3 - 4x dx convergent divergent If it is convergent, evaluate it. (If the quantity diverges, enter diverges.) Determine whether the integral is convergent or divergent. integral_8^infinity 1/x^2 + x dx convergent divergent If it is convergent, evaluate it. (If the quantity diverges, enter diverges.) Determine whether the integral is convergent or divergent. integral_-2^14 5/4 squareroot x + 2 dx convergent divergent If it is convergent, evaluate it. (If the quantity...