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Popular >

integral of (y^5-5y)

Solution

\int (y^{5} - 5 y) d y

Solution

\frac{y ^{6}}{6} - \frac{5 y ^{2}}{2} + C

Solution steps

\int y^{5} - 5 y d y

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int y^{5} d y - \int 5 y d y

\int y^{5} d y = \frac{y ^{6}}{6}

\int 5 y d y = \frac{5 y ^{2}}{2}

= \frac{y ^{6}}{6} - \frac{5 y ^{2}}{2}

Add a constant to the solution

= \frac{y ^{6}}{6} - \frac{5 y ^{2}}{2} + C

Graph

Popular Examples

taylor e^{sin(x)}taylor

e^{s i n (x)}

tangent of f(x)=x^3+3x-2,\at x=3 tangent of

f (x) = x^{3} + 3 x - 2, at x = 3

integral of (x^{1.7}+9x^{3.5})

\int (x^{1.7} + 9 x^{3.5}) d x

derivative of sqrt(4+x^2)

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

tangent of y=(1+5x)^9,(0,1)tangent of

y = (1 + 5 x)^{9}, (0, 1)

Frequently Asked Questions (FAQ)

What is the integral of (y^5-5y) ?
The integral of (y^5-5y) is (y^6)/6-(5y^2)/2+C