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Evaluate the given indefinite integral as a power series. State the interval of convergence. 25 S dx 1-23 E1 4381 on 7 Evaluate the given indefinite integral as a power series; state the interval of convergence: S (4 + x) dz
Evaluate the indefinite integral as an infinite series. A) Evaluate the indefinite integral as an infinite series. 5 ex - 1/8x dx
1. Evaluate the indefinite integral sen (2x) – 7 cos(9x) – sec°(3x) dx = 2. Evaluate the indefinite integral | cor(3x) – sec(x) tant(x) + 9 tan(2x) dx = 3. Calculate the indefinite integral using the substitution rule | sec?0 tan*o do =
evaluate the indefinite integral
1. Evaluate the following indefinite integral using the given trigonometric substitutions, = sin e V1 - 22 = cose U
(1 point) Evaluate the indefinite integral. sec z tan 2(2 + sec )1/2 do
Evaluate the indefinite integral\ sec^2 t sqrt 1 + tant t dt Use the previous answer to evaluate between t=0 and t = pi / 4 1. Evaluate the indefinite integral ſ secº (t)/1+tan(t) dt (7 pts) 2. Use the previous answer to evaluate betweent O and t = 4 TT (3 pts)
(1 point) Evaluate the integral. Loretiste 23+2 dz (1 + 7)(3+5) Answer: (1 point) The form of the partial fraction decomposition of a rational function is given below. (3,2 + 4.1 +43) (1 + 4)(72 +9) А T +4 Br +C 1? +9 A= 3 B= 0 C= 4 Now evaluate the indefinite integral. si (3:2 + 4x + 43) dr = 3/(x+4)+4/(x^2+9) (1 + 4)(x2 +9)
Evaluate the following indefinite integral. (10dx
Evaluate the indefinite integral ∫((1 + t/10)^3) dt using substitution. Step 1). u=g(t)= Step 2). du= Step 3-5). ∫((1+ t / 10)^3) dt=