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Popular >

integral of x^y

Solution

\int x^{y} d x

Solution

\frac{x ^{y + 1}}{y + 1} + C

Solution steps

\int x^{y} d x

Apply the Power Rule

: \frac{x ^{y + 1}}{y + 1}

= \frac{x ^{y + 1}}{y + 1}

Add a constant to the solution

= \frac{x ^{y + 1}}{y + 1} + C

Popular Examples

derivative of cos(x-x*sin(x))

\frac{d}{d x} (cos (x) - x \cdot sin (x))

inverse oflaplace 1/(s+a)inverse laplace

\frac{1}{s + a}

tangent of x^3-3x^2+x-5 tangent of

x^{3} - 3 x^{2} + x - 5

(\partial)/(\partial x)(x^3+ky^2-5xy)

\frac{\partial}{\partial x} (x^{3} + k y^{2} - 5 x y)

integral of 3xsqrt(1-x^2)

\int 3 x 1 - x^{2} d x

Frequently Asked Questions (FAQ)

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