What is the value of \beta?
Consider the following for the next two (02) items that follow : Given that \int\frac{3 \cos x+4 \sin x}{2 \cos x+5 \sin x}\,dx=\frac{\alpha x}{29}+\frac{\beta}{29}\ln|2 \cos x+5 \sin x|+c
- A. 7 ✓
- B. 13
- C. 17
- D. 26
Correct Answer: A. 7
Explanation
Following the previous setup, the coefficient of the logarithmic part corresponds to B. We found B = \frac{7}{29}. The given equation has \frac{\beta}{29}\ln|2\cos x + 5\sin x|, so \frac{\beta}{29} = B = \frac{7}{29}. Therefore, \beta = 7.
Related questions on Calculus
- Let z=[y] and y=[x]-x, where [.] is the greatest integer function. If x is <strong>NOT</strong> an integer but positive, then what i...
- If f(x)=4x+1 and g(x)=kx+2 such that fog(x)=gof(x), then what is the value of k?
- What is the <strong>MINIMUM</strong> value of the function f(x)=\log_{10}(x^{2}+2x+11)?
- What is \int(x^{x})^{2}(1+\ln x)\,dx equal to ?
- What is \int e^{x}\{1+\ln x+x\ln x\}\,dx equal to?