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Indefinite Integrals question

2015 · Shift 0 · Q31
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  5. /2015 · Shift 0 · Q31

Indefinite Integrals question

2015 · Shift 0 · Q31

JEE MainMathematicsIndefinite IntegralsMCQ+4 / −1
The integral ∫dxx2(x4+1)3/4\int {{{dx} \over {{x^2}{{\left( {{x^4} + 1} \right)}^{3/4}}}}}∫x2(x4+1)3/4dx​ equals :
  1. A
    −(x4+1)14+c- {\left( {{x^4} + 1} \right)^{{1 \over 4}}} + c−(x4+1)41​+c
  2. B
    −(x4+1x4)14+c- {\left( {{{{x^4} + 1} \over {{x^4}}}} \right)^{{1 \over 4}}} + c−(x4x4+1​)41​+c
  3. C
    (x4+1x4)14+c{\left( {{{{x^4} + 1} \over {{x^4}}}} \right)^{{1 \over 4}}} + c(x4x4+1​)41​+c
  4. D
    (x4+1)14+c{\left( {{x^4} + 1} \right)^{{1 \over 4}}} + c(x4+1)41​+c
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