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Popular >

integral of-5x^4+9x^2

Solution

\int - 5 x^{4} + 9 x^{2} d x

Solution

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

Solution steps

\int - 5 x^{4} + 9 x^{2} 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 9 x^{2} d x

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

\int 9 x^{2} d x = 3 x^{3}

= - x^{5} + 3 x^{3}

Add a constant to the solution

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

Graph

Popular Examples

integral of (x^8+x^4-x^2-7)/x

\int \frac{x ^{8} + x ^{4} - x ^{2} - 7}{x} d x

integral of 3cos^3(x)sin^6(x)

\int 3 cos^{3} (x) sin^{6} (x) d x

integral of 4cos(3t)(e^{2t})

\int 4 cos (3 t) (e^{2 t}) d t

integral of 1/((x+1)^2+9)

\int \frac{1}{( x + 1 ) ^{2} + 9} d x

integral of (6x^2)/(sqrt(x))

\int \frac{6 x ^{2}}{x} d x

Frequently Asked Questions (FAQ)

What is the integral of-5x^4+9x^2 ?
The integral of-5x^4+9x^2 is -x^5+3x^3+C