12. ZKLJ (10x - 38)° (2x + 74) K M

Q: In ABCD, mZB = (4x – 14)°, m2C m/D = (6x + 8)°. What is the value of ? x – 1)°, and -

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Q: Use the substitution method to determine / (24x + 5) · V6x4 + 5x + 10 dx.

A:

Q: 3 fx²³√₁² + x² dx X 2 a

A: Sol

Q: Calculate: fx²e³dx

A:

Q: dr rVr² +2x – 1 Use the reciprocal substitutionr 1/:

A: The integral is  ∫ dxxx2+2x-1

Q: 5а? + 36х + 45 dx d. x2 (x2 + 9)

A: We will solve the problem.

Q: cm²-m6 2 Dn+85 व

A: Step 1:  Step 2: Step 3: Step 4:

Q: What is mePOR? R. x+ 1) (3x - 5) mePOR =

A: We know that the sum of the angles in a linear pair is 180°.

Q: x°V16r6 – 24x³ + 9 dx .5

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Q: L dxdydz

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Q: if y= Find dz Iz-1 21-6 Answer:

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Q: 6. Evaluate (9-4x2) dx

A: We need to use Trigonometry substitution to solve this integration  and we use formula  2cos2x =…

Q: 231. y= (2x³ – x? + 6x + 1)°

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Q: I dx 66. x4 +1

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Q: [e³(5e* + 8) 6 dx.

A: see below the answer and calculation

Q: x5 dx 3 (36x2 + 1)7

A: I am attaching image so that you understand each and every step.

Q: In ACOE, mL C=(5x+18)' mcD =( 3x+2)' and mLE = (x+16): Find m2D.

A: We use Angle sum property of triangle  i.e. sum of all interior angles of a triangle is 180°

Q: d (5x 46. dx 5.x 4.

A:

Q: e2x 9) S dx 25-e4x

A: To find the value of the given integral, first we use substitute e2x=t, then we use the integration…

Q: 12

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Q: d²y х? — Зху - 10у - 9 %3D0 dx?

A:

Q: Evaluate:

A: Given

Q: 1 3 + 4/7 ) dx Find x4 + C

A: Given:  ∫x2-1x+3x4+4xdxwe know that ∫A+Bdx=∫Adx+ ∫BdxThen,∫x2-1x+3x4+4xdx=∫x2dx-∫1xdx+∫3x4dx+∫4xdx…

Q: 2.

A: To solve ∫x2a2-x2dx , substitute x=a sin θ. Trigonometric identities and formulas : sin2x+cos2x=1…

Q: 4 dx is equal to: xv16 - x2

A: we have to find the following integral

Q: 5) 5e3x+4 15

A: Exponential and logarithmic functions are inverses of each other. This is because we have and . So…

Q: 7x dx 19. (1 – x²)3

A: