Question

Give a formula for f(x) given that f is continuous and 3x^6 + x^4 + 2 = int_0^x frac{f(t)}{t+4} dt. a) f(x) = frac{3}{7}x^8 + frac{12}{7}x^7 + frac{1}{5}x^6 + frac{4}{5}x^5 + 2x^2 + 8x b) f(x) = 18x^5 + 4x^3 c) f(x) = frac{3}{7}x^7 + frac{1}{5}x^5 + 2x d) f(x) = 3x^6 + x^4 + 2 e) f(x) = 18x^6 + 72x^5 + 4x^4 + 16x^3

          Give a formula for f(x) given that f is continuous and 3x^6 + x^4 + 2 = int_0^x frac{f(t)}{t+4} dt.

a) f(x) = frac{3}{7}x^8 + frac{12}{7}x^7 + frac{1}{5}x^6 + frac{4}{5}x^5 + 2x^2 + 8x
b) f(x) = 18x^5 + 4x^3
c) f(x) = frac{3}{7}x^7 + frac{1}{5}x^5 + 2x
d) f(x) = 3x^6 + x^4 + 2
e) f(x) = 18x^6 + 72x^5 + 4x^4 + 16x^3

$Give a formula for f(x) given that f is continuous and 3x^6 + x^4 + 2 = int0^x fracf(t)t+4 dt. a) f(x) = frac37x^8 + frac127x^7 + frac15x^6 + frac45x^5 + 2x^2 + 8x b) f(x) = 18x^5 + 4x^3 c) f(x) = frac37x^7 + frac15x^5 + 2x d) f(x) = 3x^6 + x^4 + 2 e) f(x) = 18x^6 + 72x^5 + 4x^4 + 16x^3$

Added by Magdalena J.

Calculus: Early Transcendentals

James Stewart 8th Edition

Thanks for your feedback!

Give a formula for f(x) given that f is continuous and 3x^6 + x^4 + 2 = integral from 0 to x of (f(t) / (t + 4)) dt. a) f(x) = (3/7)x^8 + (12/7)x^7 + (1/5)x^6 + (4/5)x^5 + 2x^2 + 8x b) f(x) = 18x^5 + 4x^3 c) f(x) = (3/7)x^7 + (1/5)x^5 + 2x d) f(x) = 3x^6 + x^4 + 2 e) f(x) = 18x^6 + 72x^5 + 4x^4 + 16x^3