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Popular >

integral of 4x^3-10x

Solution

\int 4 x^{3} - 10 x d x

Solution

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

Solution steps

\int 4 x^{3} - 10 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 4 x^{3} d x - \int 10 x d x

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

\int 10 x d x = 5 x^{2}

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

Add a constant to the solution

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

Popular Examples

integral of (4t^3-t^2+16t)/(t^2+4)

\int \frac{4 t ^{3} - t ^{2} + 16 t}{t ^{2} + 4} d t

sum from n=1 to infinity of n/(n^2+3)

n = 1 \sum \infty \frac{n}{n ^{2} + 3}

integral of (xy^2-cos(x)sin(x))

\int (x y^{2} - cos (x) sin (x)) d x

y^{^{'}} - 2 x y = 8 x

integral of (x^4+sec^2(x))

\int (x^{4} + sec^{2} (x)) d x

Frequently Asked Questions (FAQ)

What is the integral of 4x^3-10x ?
The integral of 4x^3-10x is x^4-5x^2+C