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Popular >

integral of (1+x)^3

Solution

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

Solution

\frac{( 1 + x ) ^{4}}{4} + C

Solution steps

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

Apply u-substitution

: \int u^{3} d u

= \int u^{3} d u

Apply the Power Rule

: \frac{u ^{4}}{4}

= \frac{u ^{4}}{4}

Substitute back

u = 1 + x

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

Add a constant to the solution

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

Popular Examples

derivative of f(x)=(x^2-3x+4)/(x+2)derivative of

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

area 1+x-x^2-x^3,1-x area

1 + x - x^{2} - x^{3}, 1 - x

derivative of 6/(2x+1)

\frac{d}{d x} (\frac{6}{2 x + 1})

derivative of sqrt(((x+1/(x+6))^8))

\frac{d}{d x} (\frac{x + 1}{x + 6})^{8}

y^'= 1/((t-1)(y+1))

y^{^{'}} = \frac{1}{( t - 1 ) ( y + 1 )}

Frequently Asked Questions (FAQ)

What is the integral of (1+x)^3 ?
The integral of (1+x)^3 is ((1+x)^4)/4+C