Evaluate the integral \int \frac{\log x}{x} \, dx

Evaluate the integral \int \frac{\log x}{x} \, dx

Alex Bettington
Alex Bettington
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Evaluate the Integral \int \tan^2 x \sec^3 x \, dx
Evaluate the following integral. (Remember to use ln(absolute u) where appropriate. Use C for the constant of integration.) Integral of (du)/(u*sqrt(5 - u^2)).
Evaluate the integral \int_1^4 3\sqrt t \ln(t) \, dt
Consider the vector \mathbf F(x,y,z) = (2x+4y)\mathbf i +(4z+4x) \mathbf j + (4y + 2x) \mathbf k . a. Find a function f such that \mathbf F = \nabla f and f(0,0,0) = 0 . b. Suppose C is...
Evaluate the integral: integral of 2sec^4 x dx.

Evaluate the integral: integral of 2sec^4 x dx.

Alex Bettington
Alex Bettington
•
Evaluate the integral \int \frac{1}{64x^2-9} \,dx

Evaluate the integral \int \frac{1}{64x^2-9} \,dx

Alex Bettington
Alex Bettington
•
A) Find the limit: limit as x approaches infinity of arctan(e^x). B) Evaluate the integral: integral from 0 to (sqrt 3)/5 of dx/(1 + 25x^2).
Find the total area between the curve y = x^2 + 2x -3 and the x-axis, for x between x = -6 and x = 7. Also, evaluate the integral \int_{-6}^{7} f(x) dx. Interpret the value of integral in terms of...
Evaluate the interpret the result in terms of the area and or below the x-=axis. Integral_{-1/2}^{1} (x^3 - 2x) dx
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