Let C be a constant such that the integral converges. Find C and evaluate the integral. C = 6 14 x+1 and ·[... C x+6 -dx = = To = x+1 с -da x+6

Q: A sum is used to approximate the area under the curve of f(x) = x² + 2x + 10 %3D on the interval…

A: The interval [-1,8] is divided into three sub intervals. Therefore length of each interval=8-(-1)3=3…

Q: b. C. 8 x3 x5+2 d. So 8 dx √₂ √x²-x dx dx x+√x

A:

Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If it…

A: Given, ∫-∞∞x-42-1dx

Q: 3. [32] −1 4-3 4. 5. [. |_3 -4 2 1 2 -1 4,

A:

Q: Calculate the value of the integral dx to show that it is convergent. Then, use this result and the…

A: The given integral,∫1∞1x2dx and ∫1∞x2x4+x2+1dx

Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If it…

A:

Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If it…

A:

Q: Determine if the integral converges or diverges by comparison.

A:

Q: Use a summation to find the integral from 0 to 4 of f(x) 2x + 1.  Then check it using the power rule…

A: Integration and derivative