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Popular >

integral of 1+y^2

Solution

\int 1 + y^{2} d y

Solution

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

Solution steps

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

\int 1 d y = y

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

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

Add a constant to the solution

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

Popular Examples

integral from-1 to 2 of 4x^3-3x^2

\int_{- 1}^{2} 4 x^{3} - 3 x^{2} d x

integral of sin(3x)+e^{2x}

\int sin (3 x) + e^{2 x} d x

integral of ((xsin^2(x))/2)

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

limit as x approaches 0+of x^{(x^2)}

x \to 0 + lim (x^{(x^{2})})

limit as h approaches 0 of h^2

h \to 0 lim (h^{2})

Frequently Asked Questions (FAQ)

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