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Popular >

integral of cos(x)+x

Solution

\int cos (x) + x d x

Solution

sin (x) + \frac{x ^{2}}{2} + C

Solution steps

\int cos (x) + x 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 cos (x) d x + \int x d x

\int cos (x) d x = sin (x)

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

= sin (x) + \frac{x ^{2}}{2}

Add a constant to the solution

= sin (x) + \frac{x ^{2}}{2} + C

Popular Examples

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\int 1 cos (x) d x

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\int a^{b x} d x

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\int \frac{1}{10} x \cdot ln (x) d x

integral of 5x\sqrt[3]{1+x^2}

Frequently Asked Questions (FAQ)

What is the integral of cos(x)+x ?
The integral of cos(x)+x is sin(x)+(x^2)/2+C