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Indefinite Integrals question

2020 · 9 Jan · Shift 1 · Q35

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PYQ Library
JEE Main
Mathematics
Indefinite Integrals
2020 · 9 Jan · Shift 1 · Q35

Indefinite Integrals question

2020 · 9 Jan · Shift 1 · Q35

JEE MainMathematicsIndefinite IntegralsMCQ+4 / −1

The integral

\int {{{dx} \over {{{(x + 4)}^{{8 \over 7}}}{{(x - 3)}^{{6 \over 7}}}}}}

is equal to : (where C is a constant of integration)

A
${1 \over 2}{\left( {{{x - 3} \over {x + 4}}} \right)^{{3 \over 7}}} + C$
B
${\left( {{{x - 3} \over {x + 4}}} \right)^{{1 \over 7}}} + C$
C
$- {1 \over {13}}{\left( {{{x - 3} \over {x + 4}}} \right)^{{{13} \over 7}}} + C$
D
- ${\left( {{{x - 3} \over {x + 4}}} \right)^{-{1 \over 7}}} + C$

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