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Popular >

integral of t+3

Solution

\int t + 3 d t

Solution

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

Solution steps

\int t + 3 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 t d t + \int 3 d t

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

\int 3 d t = 3 t

= \frac{t ^{2}}{2} + 3 t

Add a constant to the solution

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

Popular Examples

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

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\int \frac{1}{( 529 + x ^{2} ) ^{\frac{3}{2}}} d x

integral of 1/(sqrt(-t^2+4t+12))

\int \frac{1}{- t ^{2} + 4 t + 12} d t

integral of (log_{10}(x))/(x^3)

\int \frac{lo g _{10} ( x )}{x ^{3}} d x

Frequently Asked Questions (FAQ)

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