Express the integrand as a sum of partial fractions and evaluate the integral. (Hint: factor the denominator. Watch out: sometimes there are two terms in the numerator and S da = tan-1 4) a² +a? 5x2 + x+ 36 dx x + 9%

Q: Multiple and simplify    6y²/14 xy      •    7xy/4x²

A: Multiplication of ( 6y²/14 xy ) and ( 7xy/4x² ). ( 6y²/14 xy ) × ( 7xy/4x² ) = {(6y²) × ( 7xy)}/…

Q: Evaluate. 4 10x + 1 dx 5x2 + x %3D

A: This is the definite integral, firstly integral will be calculated after that limit will put

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: Simplify. 5(x2+ 2x − 10)

A:

Q: Find the area of the shaded region as a simplified expression. A =zhCloltb2) A =(6x)( 6x 5x+3 8x-1

A: We are given the following region. We need to find the area of the shaded region as a simplified…

Q: 2x 3 2/6=

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

Q: Differentiate. y = 2/x (2Vx) = (2x)-] xp

A: In the question it is asked to differentiate the function y=2x. Here, it is asked to differentiate…

Q: 1. 2y"" Hardcore 0 7y"+12y + 8y

A: To solve the given differential equation.2y'''-7y''+12y'+8y=0

Q: d.

A:

Q: Find the value lf x that makes DEF XYZ

A: Two triangles are said to be similar if their corresponding angles are congruent and the…

Q: 2 0 (49x2+1)3/2 4.) 7dx

A: Given:The indefinite integral given is

Q: Evaluate 10 ļ 1 7ln x X dx.

A: NOTE: Refresh your page if you can't see any equations. . ................(1) substitue take…

Q: simplify.5(xy - 7)+ xy + 40- x to the power 2

A: Simplifying:

Q: Evaluate. 1 3. 2x + 2x2 dx 0.

A:

Q: x2 dx 21. 7-5x3

A:

Q: y=6/5 + 1/2

A: Given expression is

Q: 2x+5 dx ii) 2x

A: We have givenI =∫14 2x+52xdx