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Popular >

integral of (x^4-3)

Solution

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

Solution

\frac{x ^{5}}{5} - 3 x + C

Solution steps

\int 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 x^{4} d x - \int 3 d x

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

\int 3 d x = 3 x

= \frac{x ^{5}}{5} - 3 x

Add a constant to the solution

= \frac{x ^{5}}{5} - 3 x + C

Graph

Popular Examples

integral of 1/(sqrt(7x+1))

\int \frac{1}{7 x + 1} d x

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

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

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

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

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

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

integral of ln^2(x)x

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

Frequently Asked Questions (FAQ)

What is the integral of (x^4-3) ?
The integral of (x^4-3) is (x^5)/5-3x+C