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Popular >

integral from 0 to 3 of 5x^2+9x

Solution

\int_{0}^{3} 5 x^{2} + 9 x d x

Solution

\frac{171}{2}

+1

Decimal Notation

85.5

Solution steps

\int_{0}^{3} 5 x^{2} + 9 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_{0}^{3} 5 x^{2} d x + \int_{0}^{3} 9 x d x

\int_{0}^{3} 5 x^{2} d x = 45

\int_{0}^{3} 9 x d x = \frac{81}{2}

= 45 + \frac{81}{2}

Simplify

45 + \frac{81}{2} : \frac{171}{2}

= \frac{171}{2}

Popular Examples

integral from 1 to 3 of (t^6)/(1+t^4)

\int_{1}^{3} \frac{t ^{6}}{1 + t ^{4}} d t

integral from x to 20 of sin(u)

\int_{x}^{20} sin (u) d u

integral from 0 to 2 of sqrt(x-1)

\int_{0}^{2} x - 1 d x

integral from 1 to 2^n of x^{n-1}

\int_{1}^{2^{n}} x^{n - 1} d x

integral from 0 to 1 of 1/((1-x)^{1/2)}

\int_{0}^{1} \frac{1}{( 1 - x ) ^{\frac{1}{2}}} d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 3 of 5x^2+9x ?
The integral from 0 to 3 of 5x^2+9x is 171/2