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Popular >

integral of (1+x)^4

Solution

\int (1 + x)^{4} d x

Solution

\frac{( 1 + x ) ^{5}}{5} + C

Solution steps

\int (1 + x)^{4} d x

Apply u-substitution

: \int u^{4} d u

= \int u^{4} d u

Apply the Power Rule

: \frac{u ^{5}}{5}

= \frac{u ^{5}}{5}

Substitute back

u = 1 + x

= \frac{( 1 + x ) ^{5}}{5}

Add a constant to the solution

= \frac{( 1 + x ) ^{5}}{5} + C

Popular Examples

integral of-2x^2

\int - 2 x^{2} d x

integral from 7/6 to 6 of 1/(1-x^2)

\int_{\frac{7}{6}}^{6} \frac{1}{1 - x ^{2}} d x

derivative of 9x^2cos(x)cot(x)derivative of

9 x^{2} cos (x) cot (x)

tangent of f(x)= 7/(sqrt(x)),(4, 7/2)tangent of

f (x) = \frac{7}{x}, (4, \frac{7}{2})

(dy)/(dx)-2y=e^{5x}

\frac{d y}{d x} - 2 y = e^{5 x}

Frequently Asked Questions (FAQ)

What is the integral of (1+x)^4 ?
The integral of (1+x)^4 is ((1+x)^5)/5+C