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Popular >

integral of (x^2)^2

Solution

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

Solution

\frac{x ^{5}}{5} + C

Solution steps

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

Simplify

(x^{2})^{2} : x^{4}

= \int x^{4} d x

Apply the Power Rule

: \frac{x ^{5}}{5}

= \frac{x ^{5}}{5}

Add a constant to the solution

= \frac{x ^{5}}{5} + C

Popular Examples

integral of e^X

\int e^{X} d X

(dy)/(dx)y=tan(x^2-4x)

\frac{d y}{d x} y = tan (x^{2} - 4 x)

(\partial)/(\partial x)(x^3y^2-y)

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

derivative of f(x)=x^2-4x-9 derivative of

f (x) = x^{2} - 4 x - 9

2(d^2y)/(dx^2)-6(dy)/(dx)+4y=2sin(4x)

2 \frac{d ^{2} y}{d x ^{2}} - 6 \frac{d y}{d x} + 4 y = 2 sin (4 x)

Frequently Asked Questions (FAQ)

What is the integral of (x^2)^2 ?
The integral of (x^2)^2 is (x^5)/5+C