₁²(x² + √x)dx g. 32 h. 1 i. f₁¹(r + 1)²dr x-6/5 dx

Q: 1 1 * (37) 8 X dx

A:

Q: a. e (6+Inx) 2 1 -dx b. 3. ¾ x je 1 -dx c. +7 dx J d. 3

A: As per guideline we can solve maximum three subpart you can repost

Q: 1 L(2x² – x³)dx 4 12 b. 7 С. d. None of the above の|n a.

A:

Q: .3 1 J2 dx=? x² – 4x+5

A:

Q: (I+x²)d (l-x²) Vi+

A:

Q: If (x – k)³ dx = §,x³ dx , find k? %3D -

A:

Q: 2 3 ln x² dx 13mx 히 X

A: Given problem:- ∫ 3ln(x^2) dx/x

Q: dx x2/3

A: ∫dxx-x2/3=∫dxx2/3(x1/3-1)

Q: xcos(2x) dx = None of these п/9 2n

A: We have: I= ∫ x cos(2x) dx Integrating by parts: ∫fg' = fg - ∫f'g Taking f= x and g'= cos(2x)  Thus,…

Q: dy dx for A B y=23√x²-3arcsin(x³) True False 2 9x² 33/x /1-x6

A:

Q: 1 x²(x − S 1)² - 1)2 dx

A:

Q: (c) Use geometry (ONLY) to find the exact value of (2x + 1) dx. Illustrate your method with a new…

A: By sketching graph

Q: Evaluate ¹/2 1 3 — 1 dx.

A:

Q: find dy. y =2√x/3(1 + √x)

A: we have to find the derivative y=2x3(1+x)

Q: r1 (1 – 2x)2 dx

A:

Q: 9. x² dx (1 – x²)3/2

A: Let's find.

Q: d. Evaluate dr ((5x² + 10)e) at r = 2.

A: We will differentiate the given expression using the product rule and then put X equal to 2

Q: Evaluate 16xe"> S 6xe7x dx. 6xex dx =

A:

Q: dx x lnx√9 ln²x-1 S

A: Given: I=∫dxxlnx9ln2x-1   ...(1)   As we know that; ∫1x2+1dx=tan-1x+C

Q: 5x dx (x² + 3)2/3

A: We will use a substitution to solve the equation.

Q: X arccsc(x- + 13) dx 6. 10

A:

Q: (x²+1)dx 10. x2

A:

Q: dx 43. Evalua Jx +2)(x² +4x + 10) te

A: To simplify this integral, we use partial fraction decomposition. Thus,…

Q: 1d²½ of y=x²-x² dx Find

A: We have to find the double derivative of y with respect to x

Q: 3) [ dx (x²+3)7/2 =

A:

Q: - Trig Sub 1 dx V9 – x²

A:

Q: Find ∫ √(3 − 5x) /2x   dx.

A: Consider the given integral, ∫3-5x2xdx substitute 3-5x=u ⇒ dx=-23-5x5 ∫3-5x2xdx=2∫u2u2-3du now,…

Q: x² 1- x6 dx

A: Explanation of the answer is as follows