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Popular >

integral from 0 to 1 of (3x-5)

Solution

\int_{0}^{1} (3 x - 5) d x

Solution

- \frac{7}{2}

+1

Decimal Notation

- 3.5

Solution steps

\int_{0}^{1} 3 x - 5 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}^{1} 3 x d x - \int_{0}^{1} 5 d x

\int_{0}^{1} 3 x d x = \frac{3}{2}

\int_{0}^{1} 5 d x = 5

= \frac{3}{2} - 5

Simplify

\frac{3}{2} - 5 : - \frac{7}{2}

= - \frac{7}{2}

Popular Examples

integral from 0 to 1 of ((1-x)/(1+x))^3

\int_{0}^{1} (\frac{1 - x}{1 + x})^{3} d x

integral from 1 to 2 of (5x^4-4x^3)

\int_{1}^{2} (5 x^{4} - 4 x^{3}) d x

integral from 2 to sin(x^2) of 1/(1+t^2)

\int_{2}^{s i n (x^{2})} \frac{1}{1 + t ^{2}} d t

integral from-pi/4 to pi/4 of sec^2(t)

\int_{- \frac{π}{4}}^{\frac{π}{4}} sec^{2} (t) d t

integral from-1 to 1 of xy^2

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

Frequently Asked Questions (FAQ)

What is the integral from 0 to 1 of (3x-5) ?
The integral from 0 to 1 of (3x-5) is -7/2