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Popular >

integral from-1 to 3 of (3x+1)

Solution

\int_{- 1}^{3} (3 x + 1) d x

Solution

16

Solution steps

\int_{- 1}^{3} 3 x + 1 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_{- 1}^{3} 3 x d x + \int_{- 1}^{3} 1 d x

\int_{- 1}^{3} 3 x d x = 12

\int_{- 1}^{3} 1 d x = 4

= 12 + 4

Simplify

= 16

Popular Examples

integral of sin(2pi)t

\int sin (2 π) t d t

tangent of f(x)= 1/(sqrt(x)),\at x= 1/16 tangent of

f (x) = \frac{1}{x}, at x = \frac{1}{16}

tangent of x^2+4x-5 tangent of

x^{2} + 4 x - 5

(dy)/(dx)=((x-1))/((y-1))

\frac{d y}{d x} = \frac{( x - 1 )}{( y - 1 )}

integral from 0 to 0.1 of xarctan(4x)

\int_{0}^{0.1} x arctan (4 x) d x

Frequently Asked Questions (FAQ)

What is the integral from-1 to 3 of (3x+1) ?
The integral from-1 to 3 of (3x+1) is 16