WB JEE 2017 | Indefinite Integrals Question 27 | Mathematics

WB JEE 2017

MCQ (Single Correct Answer)

-0.25

$$\int {{{{x^2} - 1} \over {{x^4} + 3{x^2} + 1}}dx} $$ (x > 0) is

$${\tan ^{ - 1}}\left( {x + {1 \over x}} \right) + C$$

$${\tan ^{ - 1}}\left( {x - {1 \over x}} \right) + C$$

$${\log _e}\left| {{{x + {1 \over x} - 1} \over {x + {1 \over x} + 1}}} \right| + C$$

$${\log _e}\left| {{{x - {1 \over x} - 1} \over {x - {1 \over x} + 1}}} \right| + C$$

WB JEE 2017

MCQ (Single Correct Answer)

-0.25

Let I = $$\left| {\int {_{10}^{19}{{\sin x} \over {1 + {x^8}}}dx} } \right|$$. Then,

| I | < 10^$$-$$9

| I | < 10^$$-$$7

| I | < 10^$$-$$5

| I | > 10^$$-$$7

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