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Popular >

(dy)/(dx)=(x+1)^3

Solution

\frac{d y}{d x} = (x + 1)^{3}

Solution

y = \frac{( x + 1 ) ^{4}}{4} + c_{1}

Solution steps

\frac{d y}{d x} = (x + 1)^{3}

Substitute

\frac{d y}{d x}

with

y^{'} (x)

y^{^{'}} (x) = (x + 1)^{3}

If

f^{^{'}} (x) = g (x)

then

f (x) = \int g (x) d x

y = \int (x + 1)^{3} d x

\int (x + 1)^{3} d x = \frac{( x + 1 ) ^{4}}{4} + c_{1}

y = \frac{( x + 1 ) ^{4}}{4} + c_{1}

Popular Examples

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\int (x + 1) x + 6 d x

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\int 3 sec^{6} (t) d t

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integral of log_{8}(3x)

\int lo g_{8} (3 x) d x

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=(x+1)^3 ?
The solution for (dy)/(dx)=(x+1)^3 is y=((x+1)^4)/4+c_{1}