intrigation of cos(root x)^3 / x dx

1) Integrate the following functions: f(x)=cos⁡(3x)

YouFind the following indefinite integral:integral e to the power of 3 x end exponent cos left parenthesis e to the power of 3 x end exponent right parenthesis d xA. 3 e to the power of 3 x end exponent sin left parenthesis e to the power of 3 x end exponent right parenthesis plus cB. 1 third sin left parenthesis e to the power of 3 x end exponent right parenthesis plus cC. 3 sin left parenthesis e to the power of 3 x end exponent right parenthesis plus cD. 1 third e to the power of 3 x end exponent sin left parenthesis e to the power of 3 x end exponent right parenthesis plus c

Evaluate the following integral using the given steps.∫(cos(𝑥))3sin(𝑥) 𝑑𝑥Identify the "inner function" 𝑢(𝑥) for use in integration by substitution.𝑢(𝑥)=

int 0 to infinity (dx/(root(x^3+x))

integrate(x^3*cos x/2+1/2)*sqrt(4-x^2)dx from-2 to 2