Evaluate the integral: ∫ ( ln (6 x 2)/ x ) dx

Question

Evaluate the integral: ∫ ( ln (6 x 2)/ x ) dx (A) (1/8)[ ln (6 x2)]3+C (B) (1/4)[ ln 2(6 x 2)]+ C (C) (1/2)[ ln (6 x 2)]+ C (D) (1/16)[ ln (6 x 2)]4+ C

Tardigrade Admin · Accepted Answer

Correct answer is (b) (1/4)[ ln 2(6 x 2)]+ C

Q. Evaluate the integral: $\int \frac{l n ( 6 x ^{2} )}{x} d x$

$\frac{1}{8} [ln (6 x^{2})]^{3} + C$

$\frac{1}{4} [ln^{2} (6 x^{2})] + C$

$\frac{1}{2} [ln (6 x^{2})] + C$

$\frac{1}{16} [ln (6 x^{2})]^{4} + C$

Correct answer is (b) $\frac{1}{4} [ln^{2} (6 x^{2})] + C$

Q. Evaluate the integral: ∫xln(6x2)​dx

81​[ln(6x2)]3+C

41​[ln2(6x2)]+C

21​[ln(6x2)]+C

161​[ln(6x2)]4+C

Correct answer is (b) 41​[ln2(6x2)]+C

Q. Evaluate the integral: $\int \frac{l n ( 6 x ^{2} )}{x} d x$

$\frac{1}{8} [ln (6 x^{2})]^{3} + C$

$\frac{1}{4} [ln^{2} (6 x^{2})] + C$

$\frac{1}{2} [ln (6 x^{2})] + C$

$\frac{1}{16} [ln (6 x^{2})]^{4} + C$

Correct answer is (b) $\frac{1}{4} [ln^{2} (6 x^{2})] + C$