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1. |
Find the value of ( int sqrt{4x^2+4x+5} dx ). |
A. | (2 left [ frac{1}{2} (x+ frac{1}{2}) sqrt{{(x+ frac{1}{2})^2+1)}} right ]+ln u2061 left [(x+ frac{1}{2})+ sqrt{(x+ frac{1}{2})^2+1} right ] ) |
B. | (2 left [ frac{1}{2} sqrt{(x+ frac{1}{2})^2+1)} right ]+ frac{1}{2} ln u2061 left [(x+ frac{1}{2})+ sqrt{(x+ frac{1}{2})^2+1} right ] ) |
C. | (2 left [ frac{1}{2} (x+ frac{1}{2}) sqrt{(x+ frac{1}{2})^2+1)} right ]+ frac{1}{2} ln u2061 left [(x+ frac{1}{2})+ sqrt{(x+ frac{1}{2})^2+1} right ] ) |
D. | (2 left [(x+ frac{1}{2}) sqrt{{(x+ frac{1}{2})^2+1)}} right ]+ frac{1}{2} ln u2061 left [(x+ frac{1}{2})+ sqrt{(x+ frac{1}{2})^2+1} right ] ) |
Answer» D. (2 left [(x+ frac{1}{2}) sqrt{{(x+ frac{1}{2})^2+1)}} right ]+ frac{1}{2} ln u2061 left [(x+ frac{1}{2})+ sqrt{(x+ frac{1}{2})^2+1} right ] ) | |