en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of (x+3)^5

Solution

\int (x + 3)^{5} d x

Solution

\frac{( x + 3 ) ^{6}}{6} + C

Solution steps

\int (x + 3)^{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 + 3

= \frac{( x + 3 ) ^{6}}{6}

Add a constant to the solution

= \frac{( x + 3 ) ^{6}}{6} + C

Popular Examples

integral of (x^5)/((x-1)^2(x^2-1))

\int \frac{x ^{5}}{( x - 1 ) ^{2} ( x ^{2} - 1 )} d x

integral of (x^2)/(ln(x))

\int \frac{x ^{2}}{ln ( x )} d x

integral of ln(x^2)integral

ln (x^{2})

integral of 3/((x^3+1))

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

integral of 2^{2x}e^x

\int 2^{2 x} e^{x} d x

Frequently Asked Questions (FAQ)

What is the integral of (x+3)^5 ?
The integral of (x+3)^5 is ((x+3)^6)/6+C