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Popular >

integral of u^n

Solution

\int u^{n} d u

Solution

\frac{u ^{n + 1}}{n + 1} + C

Solution steps

\int u^{n} d u

Apply the Power Rule

: \frac{u ^{n + 1}}{n + 1}

= \frac{u ^{n + 1}}{n + 1}

Add a constant to the solution

= \frac{u ^{n + 1}}{n + 1} + C

Graph

Popular Examples

integral of 5/(x+2)-3/((x+2)^2)

\int \frac{5}{x + 2} - \frac{3}{( x + 2 ) ^{2}} d x

integral of x^2(1+x^3)^{1/4}

\int x^{2} (1 + x^{3})^{\frac{1}{4}} d x

(\partial)/(\partial x)(5xy^2)

\frac{\partial}{\partial x} (5 x y^{2})

derivative of f(x)=2x^2-6x^{1/3}derivative of

f (x) = 2 x^{2} - 6 x^{\frac{1}{3}}

area y=3x(-x+1),y=-3x area

y = 3 x (- x + 1), y = - 3 x

Frequently Asked Questions (FAQ)

What is the integral of u^n ?
The integral of u^n is (u^{n+1})/(n+1)+C