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Popular >

integral of 5x^4+3

Solution

\int 5 x^{4} + 3 d x

Solution

x^{5} + 3 x + C

Solution steps

\int 5 x^{4} + 3 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 5 x^{4} d x + \int 3 d x

\int 5 x^{4} d x = x^{5}

\int 3 d x = 3 x

= x^{5} + 3 x

Add a constant to the solution

= x^{5} + 3 x + C

Popular Examples

integral of (5x^4+6x-8)

\int (5 x^{4} + 6 x - 8) d x

integral of (5x+4)/(x^2+1)

\int \frac{5 x + 4}{x ^{2} + 1} d x

integral of (csc^2(3x))/(b-acot(3x))

\int \frac{csc ^{2} ( 3 x )}{b - a cot ( 3 x )} d x

integral of 2x(x^2+11)^5

\int 2 x (x^{2} + 11)^{5} d x

integral of (ln^3(2x))/x

\int \frac{ln ^{3} ( 2 x )}{x} d x

Frequently Asked Questions (FAQ)

What is the integral of 5x^4+3 ?
The integral of 5x^4+3 is x^5+3x+C