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Popular >

integral of 40x^3+20

Solution

\int 40 x^{3} + 20 d x

Solution

10 x^{4} + 20 x + C

Solution steps

\int 40 x^{3} + 20 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 40 x^{3} d x + \int 20 d x

\int 40 x^{3} d x = 10 x^{4}

\int 20 d x = 20 x

= 10 x^{4} + 20 x

Add a constant to the solution

= 10 x^{4} + 20 x + C

Popular Examples

integral of 20-sqrt((20)^2-x^2)

\int 20 - (20)^{2} - x^{2} d x

integral of (4x^3+3^x)

\int (4 x^{3} + 3^{x}) d x

integral of ((e^x-2)e^x)/(e^x+1)

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

(d^2)/(dx^2)(sqrt(x))

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

area sqrt(x),-x,1,4 area

x, - x, 1, 4

Frequently Asked Questions (FAQ)

What is the integral of 40x^3+20 ?
The integral of 40x^3+20 is 10x^4+20x+C