Problem $3$: Integration via the Substitution Method $(14$ points$)$Directions: Evaluate the following definite integral. Explain and show your work, especially any substitutions. You donot need to simplify your final answer.Instructor Note: Substitution is one of the fundamental methods for evaluating complicated integrals. This is your chance topractice writing out and explaining the method. You can use the feedback you get to correct any issues before the final exam.Dont be afraid to experiment with your choice of substitution $-$ the best way to learn is by trying things out!a$)(14$ points$)$ Z $3332$z$51+$ z$49$dz$[$Hint: Consider Z $11+$ x$2$ dx $=$ tan$1($x$)$