4. Find the double integral

Q: x³dx S 17. √(1-x²

A:

Q: Evaluate the integral: 3xe-/4 dr

A: we will do it by integration by parts ∫uv=u∫v-∫u'∫v

Q: S tan' (2x)sec“ (2x) dx

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Use a substitution method to evaluate the integral

A:

Q: 7 1 dv = -7 V

A:

Q: Given fe""dx = --e"3* Given [el-2)dx =--e"-2*) +c. Su;

A: Taking substirution method we have

Q: Evaluate the integral ∫sin3xcos3xdx.

A:

Q: ㅠ -π sec xdx. 3

A:

Q: Evaluate the double integral. dA, D-

A:

Q: Find the integral ∫e−xsinxdx.

A:

Q: 16 dx Vx-1 6,

A: I=∫9161x-1dxPut u=x-1differentiate w.r.t.xdu=12xdx2xdu=dx2(u+1)du=dxas x→9  ,u→2 as x→16 ,…