JEE MATHEMATICS MCQ: DIFFERENTIATION

1 Medium

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Application +4 | -1

f\left(\frac{3 x-4}{3 x+4}\right)=x+2

then

\int f(x) d x

is equal to

View answer and explanation

Correct option: B

-\frac{8}{3} \ln |(1-x)|+\frac{2}{3} x+c

Option B (

-\frac{8}{3} \ln |(1-x)|+\frac{2}{3} x+c

) is correct because after substituting and integrating, the result matches this option.

More Questions from DIFFERENTIATION

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f(x)=|x|^{|\tan x|}

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x

y

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x y=1

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[x]

x

x=k, k

f(x)

y = {\sec ^{ - 1}}\left[ {\mathrm{cosec}x} \right] + \mathrm{cose}{\mathrm{c}^{ - 1}}\left[ {\sec x} \right] + {\sin ^{ - 1}}[\cos x] + {\cos ^{ - 1}}[\sin x],

\frac{{dy}}{{dx}}

\frac{d}{d x} \sin ^{-1}\left(3 x-4 x^{3}\right)

z = y + f\left( v \right),

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v\frac{{\partial z}}{{\partial x}} + \frac{{\partial z}}{{\partial y}}