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Popular >

integral of 3t-5

Solution

\int 3 t - 5 d t

Solution

\frac{3 t ^{2}}{2} - 5 t + C

Solution steps

\int 3 t - 5 d t

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 t d t - \int 5 d t

\int 3 t d t = \frac{3 t ^{2}}{2}

\int 5 d t = 5 t

= \frac{3 t ^{2}}{2} - 5 t

Add a constant to the solution

= \frac{3 t ^{2}}{2} - 5 t + C

Popular Examples

integral of (x^3+x)/(x^4+2x^2+5)

\int \frac{x ^{3} + x}{x ^{4} + 2 x ^{2} + 5} d x

integral of-0.0008xe^{x^2}

\int - 0.0008 x e^{x^{2}} d x

integral of 1/(3sqrt(t))

\int \frac{1}{3 t} d t

integral of z/(e^z)

\int \frac{z}{e ^{z}} d z

integral of (z^5)/(\sqrt[3]{2+z^6)}

Frequently Asked Questions (FAQ)

What is the integral of 3t-5 ?
The integral of 3t-5 is (3t^2)/2-5t+C