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Popular >

integral from 3 to 5 of (5x^3+6)

Solution

\int_{3}^{5} (5 x^{3} + 6) d x

Solution

692

Solution steps

\int_{3}^{5} 5 x^{3} + 6 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}^{5} 5 x^{3} d x + \int_{3}^{5} 6 d x

\int_{3}^{5} 5 x^{3} d x = 680

\int_{3}^{5} 6 d x = 12

= 680 + 12

Simplify

= 692

Popular Examples

(y+2)dx+(x-2)dy=0

(y + 2) d x + (x - 2) d y = 0

(dy)/(dx)=((x+1))/((x^2+2x-3)^2)

\frac{d y}{d x} = \frac{( x + 1 )}{( x ^{2} + 2 x - 3 ) ^{2}}

limit as x approaches 9 of 12

x \to 9 lim (12)

integral of x^2(1+x^3)

\int x^{2} (1 + x^{3}) d x

integral of 4/3 t^3-4t^2+3t+10

\int \frac{4}{3} t^{3} - 4 t^{2} + 3 t + 10 d t

Frequently Asked Questions (FAQ)

What is the integral from 3 to 5 of (5x^3+6) ?
The integral from 3 to 5 of (5x^3+6) is 692