JEE MATHEMATICS MCQ: DIFFERENTIAL EQUATIONS

1 Easy

1 of 1

Application +4 | -1

\int \frac{\left(x^4-x\right)^{1 / 4}}{x^5} d x

is equal to : (where

\mathrm{c}

is constant of integration)

View answer and explanation

Correct option: A

\frac{4}{15}\left(1-\frac{1}{x^3}\right)^{5 / 4}+c

Option A (

\frac{{4}}{{15}}\left(1-\frac{{1}}{{x^3}}\right)^{{5 / 4}}+c

) is correct because it is the result of the integration after a suitable substitution.

More Questions from DIFFERENTIAL EQUATIONS

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y=y(x)

\left(3 y^{2}-5 x^{2}\right) y d x+2 x\left(x^{2}-y^{2}\right) d y=0

y(1)=1

\left|(y(2))^{3}-12 y(2)\right|

x

{x^2} + {y^2} = 1

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x = A\cos 4t + B\sin 4t,

\frac{{{d^2}x}}{{d{t^2}}}

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y=y_{2}(x)

\frac{d y}{d x}=y+7

y_{1}(0)=0

y_{2}(0)=1

y=y_{1}(x)

y=y_{2}(x)

y=y(t)

\frac{d y}{d t}+\alpha y=\gamma e^{-\beta t}

\alpha>0, \beta>0

\gamma>0

\lim \limits_{{x \rightarrow \infty}} y(t)