x²-x dx 1+3x²-2x³

Q: 2/5x+4=1/4x

A: Given 25x+4=14x ⇒2(4x)=5x+4⇒8x=5x+4⇒8x-5x=4⇒3x=4⇒x=43

Q: 8 dx 9x2 + 10x + 1

A: Given information: use partial fractions to evaluate ∫0789x2+10x+1dx Apply partial fractions to…

Q: 30x4-6/x3-13x X2 dx

A: We first write the integrand using…

Q: A 2x-In Ixl+C B 2x4 In Ixl+C 5*²=4 dx x D HIN x² - In Ixl+C x² - 4 In 1x1+C

A: topic- indefinite integral ∫xndx=xn+1n+1+C∫1xdx=lnx+C

Q: Q3) An open-top box is to be made by cutting small congruent squares from the corners of a…

A: Let the side of the square that is cut be x inch. After cutting the squares from the corners and…

Q: 2 3 Sźcsc(ln[5x²])cot(In[5x²])/csc(In[5x²]) + 5dx

A: To evaluate the following integral. ∫27x cscln5x2 cotln5x2 cscln5x2+53 dx

Q: 10x+2/5x+4=1/2

A: Given function is

Q: 2/5x-1=3/10x+7

A:

Q: x3 dx J4- x4

A: ∫x3dx4-9x4Multiply & divide by -36 =-136∫-36x3dx4-9x4since, ∫f'(x)f(x)dx= 2f(x)

Q: 6. (9x-6x'+7x²-Sx+15 dx 3x

A:

Q: Evaluate. [ 10.xªtan (2x³ + 3) dx

A:

Q: Find: 6x 3x2-7x+4 dx ---

A: An integral is given as, ∫6x3-3x2-7x+4dx. The objective is to solve the integral and find the value.

Q: бх + 20 4. 522 — dx 186х — 8

A: This can be solved easily by integrating properly and expanding the terms.

Q: 1 dx 3x (3-9x)

A:

Q: x4 + 12x² + 1 dx x5 + 20x³ + 5x

A: Integration is given,

Q: 4x-2 dx 27x-8

A:

Q: 7x - 4 3 – – 4x 4x² dx

A:

Q: Bx √13 X =

A: Given query is to find the value of x.

Q: 12x5-9x³ + 8x² - 4x 4x³ - 3x + 1 dx

A: The given integral is: I=∫12x5-9x3+8x2-4x4x3-3x+1dx   As we know the Power rule;…

Q: Find 2dx x² + 8x + 17 Find dx xV5x2 – 3

A:

Q: 16r 4x - 4x + 1 3-

A:

Q: Q2) An object falling from a roof has after t seconds a height h measured in feet given by h = 100 –…

A:

Q: -8x dx 1x4

A:

Q: 10

A:

Q: +6x+10dx 2+2)

A: