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Popular >

integral of (x+1)^5

Solution

\int (x + 1)^{5} d x

Solution

\frac{( x + 1 ) ^{6}}{6} + C

Solution steps

\int (x + 1)^{5} d x

Apply u-substitution

: \int u^{5} d u

= \int u^{5} d u

Apply the Power Rule

: \frac{u ^{6}}{6}

= \frac{u ^{6}}{6}

Substitute back

u = x + 1

= \frac{( x + 1 ) ^{6}}{6}

Add a constant to the solution

= \frac{( x + 1 ) ^{6}}{6} + C

Popular Examples

derivative of [x+(x+sin^2(x)^5]^3)

\frac{d}{d x} ([x + (x + sin^{2} (x))^{5}]^{3})

integral of-(2000t)/((1+t^2))

\int - \frac{2000 t}{( 1 + t ^{2} )} d t

derivative of 4x^2+x

\frac{d}{d x} (4 x^{2} + x)

derivative of x^2-6x derivative of

x^{2} - 6 x

limit as x approaches-2-of-1

x \to - 2 - lim (- 1)

Frequently Asked Questions (FAQ)

What is the integral of (x+1)^5 ?
The integral of (x+1)^5 is ((x+1)^6)/6+C