(1 pt) Let F(x) = integrate 8 to x 1/ln(4t) dt, for x > = 8. A. F\' (x) = B. On

Question

(1 pt) Let F(x) = integrate 8 to x 1/ln(4t) dt, for x > = 8. A. F' (x) = B. On what interval or intervals F increasing? X epsilon none (Give your answer as an interval or a list of intervals, e.g., (-infinity,8) or (1.5),(7.10), or enter none for no intervals C. On what interval or intervals is the graph of F concave up? x epsilon none (Give your answer as an interval or a list of intervals, e.g . (-infinity,8) or (1,5),(7,10). or enter none for no intervals.) Use your answers above and your knowledge of derivatives and antiderivatives to sketch a graph of F(x). 1(pt) Calculate the derivative d/dt integral e^t to t^3 root 5 + x^5 dx = 1

Explanation / Answer

1/ln(4x)

b) 1/ln4x > 0

for given domain x > 8 this i s inccreasing at all times [ 8 ,inf )

c) take another derivative :

-1/ x * [ln4x]^2 > 0

there is no value

d) sqrt[5 + t^15] * 3t*t

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