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Popular >

integral of 4x^2+1

Solution

\int 4 x^{2} + 1 d x

Solution

\frac{4 x ^{3}}{3} + x + C

Solution steps

\int 4 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 4 x^{2} d x + \int 1 d x

\int 4 x^{2} d x = \frac{4 x ^{3}}{3}

\int 1 d x = x

= \frac{4 x ^{3}}{3} + x

Add a constant to the solution

= \frac{4 x ^{3}}{3} + x + C

Popular Examples

derivative of 5x^2+2x+3 derivative of

5 x^{2} + 2 x + 3

(\partial)/(\partial x)(x^2-4xy+y^2+6y+3)

\frac{\partial}{\partial x} (x^{2} - 4 x y + y^{2} + 6 y + 3)

integral of tan^5(x)sec^{11}(x)

\int tan^{5} (x) sec^{11} (x) d x

limit as x approaches 0 of 2x*sin(x)

x \to 0 lim (2 x \cdot sin (x))

tangent of y=x^2+x,\at x=-2 tangent of

y = x^{2} + x, at x = - 2

Frequently Asked Questions (FAQ)

What is the integral of 4x^2+1 ?
The integral of 4x^2+1 is (4x^3)/3+x+C