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Popular >

integral of (x+3)^4

Solution

\int (x + 3)^{4} d x

Solution

\frac{( x + 3 ) ^{5}}{5} + C

Solution steps

\int (x + 3)^{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 = x + 3

= \frac{( x + 3 ) ^{5}}{5}

Add a constant to the solution

= \frac{( x + 3 ) ^{5}}{5} + C

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derivative of (2x+1^5(x^4-3)^6)

\frac{d}{d x} ((2 x + 1)^{5} (x^{4} - 3)^{6})

integral of ((60)/(2x+5)-4)

\int (\frac{60}{2 x + 5} - 4) d x

integral of 3x^3*4x^4

\int 3 x^{3} \cdot 4 x^{4} d x

Frequently Asked Questions (FAQ)

What is the integral of (x+3)^4 ?
The integral of (x+3)^4 is ((x+3)^5)/5+C