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Popular >

integral of 5x^3-2x

Solution

\int 5 x^{3} - 2 x d x

Solution

\frac{5 x ^{4}}{4} - x^{2} + C

Solution steps

\int 5 x^{3} - 2 x 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^{3} d x - \int 2 x d x

\int 5 x^{3} d x = \frac{5 x ^{4}}{4}

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

= \frac{5 x ^{4}}{4} - x^{2}

Add a constant to the solution

= \frac{5 x ^{4}}{4} - x^{2} + C

Popular Examples

integral of sin^8(3/4)xcos^6(3/4)x

\int sin^{8} (\frac{3}{4}) x cos^{6} (\frac{3}{4}) x d x

integral of-5x^2e^{3x}

\int - 5 x^{2} e^{3 x} d x

integral of 7/(2\sqrt[4]{x^9)}

integral of ((6-2x))/(sqrt(8-4x-4x^2))

\int \frac{( 6 - 2 x )}{8 - 4 x - 4 x ^{2}} d x

integral of (8t^3)/(sqrt(0.2t^4+8000))

\int \frac{8 t ^{3}}{0.2 t ^{4} + 8000} d t

Frequently Asked Questions (FAQ)

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