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Popular >

integral of sin(x^3+1)

Solution

\int sin (x^{3} + 1) d x

Solution

Solution steps

\int sin (x^{3} + 1) d x

Rewrite using trig identities

= \int cos (x^{3}) sin (1) + cos (1) sin (x^{3}) 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^{3}) sin (1) d x + \int cos (1) sin (x^{3}) d x

Add a constant to the solution

Popular Examples

integral of ((x+3))/(2x^3-8x)

\int \frac{( x + 3 )}{2 x ^{3} - 8 x} d x

(\partial)/(\partial y)(xe^z)

\frac{\partial}{\partial y} (x e^{z})

derivative of f(x)=6-6x derivative of

f (x) = 6 - 6 x

derivative of sqrt(r^2-x^2)

\frac{d}{d x} (r^{2} - x^{2})

sum from n=1 to infinity of 2/(2^n+5)

n = 1 \sum \infty \frac{2}{2 ^{n} + 5}

Frequently Asked Questions (FAQ)

What is the integral of sin(x^3+1) ?
The integral of sin(x^3+1) is