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Popular >

integral of (x^2+1)

Solution

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

Solution

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

Solution steps

\int x^{2} + 1 d x

Apply the Sum Rule:

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

= \int x^{2} d x + \int 1 d x

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

\int 1 d x = x

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

Add a constant to the solution

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

Popular Examples

integral of 2^{5x}

\int 2^{5 x} d x

tangent of y=x^2-7,(3,2)tangent of

y = x^{2} - 7, (3, 2)

integral of e^{10x}

\int e^{10 x} d x

(\partial)/(\partial y)(xy^3)

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

(\partial)/(\partial x)(xy^4)

\frac{\partial}{\partial x} (x y^{4})

Frequently Asked Questions (FAQ)

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