What is the integral of (x+3)^{10} ?

The integral of (x+3)^{10} is ((x+3)^{11})/(11)+C

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integral of (x+3)^{10}

\int (x + 3)^{10} d x

\frac{( x + 3 ) ^{11}}{11} + C

Solution steps

\int (x + 3)^{10} d x

Apply u-substitution

: \int u^{10} d u

= \int u^{10} d u

Apply the Power Rule

: \frac{u ^{11}}{11}

= \frac{u ^{11}}{11}

Substitute back

u = x + 3

= \frac{( x + 3 ) ^{11}}{11}

Add a constant to the solution

= \frac{( x + 3 ) ^{11}}{11} + C

s^{4}

\int 2 tan (x) sec^{2} (x) d x

\int_{0}^{1} x \cdot e^{- x^{2}} d x

n = 8 \sum \infty n + 13

x \to 5 + lim (\frac{x ^{2} - 25}{x - 5})

What is the integral of (x+3)^{10} ?
The integral of (x+3)^{10} is ((x+3)^{11})/(11)+C