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Popular >

integral of (y^2+1)

Solution

\int (y^{2} + 1) d y

Solution

\frac{y ^{3}}{3} + y + C

Solution steps

\int y^{2} + 1 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^{2} d y + \int 1 d y

\int y^{2} d y = \frac{y ^{3}}{3}

\int 1 d y = y

= \frac{y ^{3}}{3} + y

Add a constant to the solution

= \frac{y ^{3}}{3} + y + C

Popular Examples

limit as h approaches 0 of ((8^h-1))/h

h \to 0 lim (\frac{( 8 ^{h} - 1 )}{h})

derivative of t^2-8t+19 derivative of

t^{2} - 8 t + 19

sum from n=0 to infinity of (x^n)/(5^n)

n = 0 \sum \infty \frac{x ^{n}}{5 ^{n}}

(\partial)/(\partial x)((ln^'(x^2+5))/(y^2))

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

(\partial)/(\partial z)(xyarcsin(yz))

\frac{\partial}{\partial z} (x y arcsin (yz))

Frequently Asked Questions (FAQ)

What is the integral of (y^2+1) ?
The integral of (y^2+1) is (y^3)/3+y+C