Mister Exam

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How to use it?
Integral of d{x}:
Integral of x^2*ln(x)
Integral of x^2*e^x*dx
Integral of x^-4
Integral of -sinx
Derivative of:
-cos(x)
Limit of the function:
-cos(x)
Graphing y =:
-cos(x)
Identical expressions
-cos(x)
minus co sinus of e of (x)
-cosx
-cos(x)dx
Similar expressions
cos(x)
sqrt(1-cosx+sinx)
dx/(sinx^2+3sinxcosx-cosx^2)
senx-cosx
e^(-cosx)
(sinx-cosx)⁷dx
-cosx

Solving integrals/ -cos(x)

Integral of -cos(x) dx

The solution

You have entered [src]

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$$\int\limits_{0}^{1} \left(- \cos{\left(x \right)}\right)\, dx$$

Integral(-cos(x), (x, 0, 1))

Detail solution

The integral of a constant times a function is the constant times the integral of the function:

$\int \left(- \cos{\left(x \right)}\right)\, dx = - \int \cos{\left(x \right)}\, dx$
1. The integral of cosine is sine:
  
  $\int \cos{\left(x \right)}\, dx = \sin{\left(x \right)}$
So, the result is: $- \sin{\left(x \right)}$
Add the constant of integration:

$- \sin{\left(x \right)}+ \mathrm{constant}$

The answer is:

$- \sin{\left(x \right)}+ \mathrm{constant}$

The answer (Indefinite) [src]

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 | -cos(x) dx = C - sin(x)
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$$\int \left(- \cos{\left(x \right)}\right)\, dx = C - \sin{\left(x \right)}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

-sin(1)

$$- \sin{\left(1 \right)}$$

=

-sin(1)

$$- \sin{\left(1 \right)}$$

-sin(1)

Numerical answer [src]

-0.841470984807897

-0.841470984807897

The graph

Integral of -cos(x) dx

Use the examples entering the upper and lower limits of integration.