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Popular >

integral of 3x^2-pix

Solution

\int 3 x^{2} - π x d x

Solution

x^{3} - \frac{π x ^{2}}{2} + C

Solution steps

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

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

\int π x d x = \frac{π x ^{2}}{2}

= x^{3} - \frac{π x ^{2}}{2}

Add a constant to the solution

= x^{3} - \frac{π x ^{2}}{2} + C

Popular Examples

integral of 5/2 x^2(x^3-7)^4

\int \frac{5}{2} x^{2} (x^{3} - 7)^{4} d x

integral of (5sin(x))/x

\int \frac{5 sin ( x )}{x} d x

integral of (7x)/((x^2+8)^2+25)

\int \frac{7 x}{( x ^{2} + 8 ) ^{2} + 25} d x

integral of sqrt(x)^7

\int x^{7} d x

integral of (cot(x)csc(x))/(csc^3(x))

\int \frac{cot ( x ) csc ( x )}{csc ^{3} ( x )} d x

Frequently Asked Questions (FAQ)

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