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Popular >

integral of (t+1)

Solution

\int (t + 1) d t

Solution

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

Solution steps

\int t + 1 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 1 d t

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

\int 1 d t = t

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

Add a constant to the solution

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

Popular Examples

integral of (sec^2(ln(t)))/t

\int \frac{sec ^{2} ( ln ( t ) )}{t} d t

integral of 1/(xsqrt(9-x))

\int \frac{1}{x 9 - x} d x

integral of e^{-0.04t}

\int e^{- 0.04 t} d t

integral of (2x+5)/((x+1)^2)

\int \frac{2 x + 5}{( x + 1 ) ^{2}} d x

integral of e^{4x}ln(e^{2x}+5)

\int e^{4 x} ln (e^{2 x} + 5) d x

Frequently Asked Questions (FAQ)

What is the integral of (t+1) ?
The integral of (t+1) is (t^2)/2+t+C