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Popular >

integral of 1+sin(x)

Solution

\int 1 + sin (x) d x

Solution

x - cos (x) + C

Solution steps

\int 1 + sin (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 1 d x + \int sin (x) d x

\int 1 d x = x

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

= x - cos (x)

Add a constant to the solution

= x - cos (x) + C

Graph

Popular Examples

limit as x approaches pi of-1

x \to π lim (- 1)

(\partial)/(\partial x)((a^3b^4)/(c^2x^4))

\frac{\partial}{\partial x} (\frac{a ^{3} b ^{4}}{c ^{2} x ^{4}})

y^{''}+9y=-sin(3t),y(0)=0,y^'(0)= 1/6

y^{^{''}} + 9 y = - sin (3 t), y (0) = 0, y^{^{'}} (0) = \frac{1}{6}

integral of (x^2+2x)cos(5x)

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

sum from n=1 to infinity of 2(0.8)^n

n = 1 \sum \infty 2 (0.8)^{n}

Frequently Asked Questions (FAQ)

What is the integral of 1+sin(x) ?
The integral of 1+sin(x) is x-cos(x)+C