4-f(t)=e-²¹.t³.

Q: (х3 + 3х)dx х1/2

A: Thus the integration is a process of finding anti derivative of a function . There are basically two…

Q: 3 e3/x - dp- x2 83.

A:

Q: Vx-x (-X dx 4. x3

A:

Q: 1. 5x²+4x2-5 dx

A:

Q: x3 00 dx = (x* +4)2 0,

A:

Q: 3. (1+4e3x)³ e3x dx

A:

Q: dx x²(81+x*)3/4

A: Given integral is: I=∫dxx2(81+x4)34 Let us substitute:…

Q: dx (x. + 1) Vx + 3

A: Evaluate I=∫dxx+1x+3

Q: I(x²-x)dx= O a. -30 O b. 5 O c. 9 O d. 0

A: Given integral is  ∫-22x3-xdx

Q: Sx² d(e*). Note a(x) = e* .

A:

Q: Find x²e³ dx.

A:

Q: Q6.31 Look at the directional fields of phase planes below. Draw a line to match each phase plane…

A: A. Here for the given system ,eigenvalues of  are  ,complex with only imaginary part.Hence…

Q: S(3x* – 5xP +x=³)dx.

A: Given query is to find the integral.

Q: (x²+1)dx 10. x2

A:

Q: 4. f 30x²5x³+3 dx e

A:

Q: 3. (x³-x²)7 dx x2

A: As per the question we are given a indefinite integral, which we have to find out. And to do that we…

Q: dx 5. x/2 +x/3

A:

Q: x2 8. dx V9 – x2

A:

Q: Evaluate I=( (6-x-x²) dx -3

A: Consider the integral: I=∫-326-x-x2dx

Q: 00 x3 dx (x²+1)² it

A:

Q: f=1/5(g+h-k) h=

A: The given equation is,