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Popular >

integral of 7-sin(x)

Solution

\int 7 - sin (x) d x

Solution

7 x + cos (x) + C

Solution steps

\int 7 - 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 7 d x - \int sin (x) d x

\int 7 d x = 7 x

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

= 7 x - (- cos (x))

Simplify

= 7 x + cos (x)

Add a constant to the solution

= 7 x + cos (x) + C

Popular Examples

integral of tan(2x)sin(2x)

\int tan (2 x) sin (2 x) d x

integral of (5x^3-3x^2+4x-3)/(x^4+x^2)

\int \frac{5 x ^{3} - 3 x ^{2} + 4 x - 3}{x ^{4} + x ^{2}} d x

integral of (e^x)/(e^{2x)+3e^x-4}

\int \frac{e ^{x}}{e ^{2 x} + 3 e ^{x} - 4} d x

integral of (cos(t))/(sin^7(t))

\int \frac{cos ( t )}{sin ^{7} ( t )} d t

integral of 1/(sqrt(2-3x-x^2))

\int \frac{1}{2 - 3 x - x ^{2}} d x

Frequently Asked Questions (FAQ)

What is the integral of 7-sin(x) ?
The integral of 7-sin(x) is 7x+cos(x)+C