S Si dydx %3D 1-r

Q: + 3x dx

A: Answer is 123.55

Q: s cen x)" dx

A:

Q: 1. ſ csc³x cot5x dx

A:

Q: 3 sla? – x²) % dx

A: Given ∫ (a2- x2)32 dx Perform trignometric substitution x= aSin (μ) →υ= arcsin (xa), dx= acos (μ)…

Q: 1 dx

A: This question can be solved using the concept of definite integral.

Q: 15 dx

A:

Q: (4x* e* dx

A: given integral I=∫4x4 ex4dx   ...i as we know series representation of ex4=∑n=0∞x4nn! substitute the…

Q: 3+ dx

A:

Q: . S csc x dx

A:

Q: Evaluate . (6r –10)e*dx

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Q: 100 dx

A:

Q: 36x dx e Evaluate

A:

Q: 45. | (5x + x?) dx

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Q: csé seé dr CSC. sec

A:

Q: S sixicosx dx 05

A: Evaluate the integral as follows. Let u = cos x. Then,

Q: 4 T dx - 1 er 15

A:

Q: a.) S dx 73х

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 10) (2 ydx+dy)e" =0

A: Given DE is 2ydx+dye2x=0 solve it by exact differential equation

Q: 2x+ 4ード dそdxy hーカハー

A: We need to integrate the given iterated tripple integral in order dzdxdy

Q: 34. dx

A: Given,          ∫x1-x4dx

Q: Sx? cosx dx

A:

Q: | 3x dx

A:

Q: 1 dx (b)

A: Given interval :

Q: 2) Se* dx

A: Given: ∫x5exdx

Q: 5x. e dx

A:

Q: +00 L e-y° dy = VTJ aw

A: In the question we have to prove the integration of given function.

Q: السؤال الأول: اذا كان dxdy = )ln(b و و جد قيمة الثوابت الحقيقية a, b

A:

Q: 10.) L So exte-x dx È

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 9. dx

A: One of the two main parts of calculus which are concerned with the study of integrals, as opposed to…

Q: 5* dx

A: To solve this problem we have to use substitution method firstly and then exponential rule of…

Q: 8. S cot?x dx

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: ×+4メ+ム dx

A: We have to evaluate the given integral.

Q: 2. ſ xºcos(4x)dx

A: ∫x0 cos4xdx

Q: dx @mymathssolutions = ? VI – Vx – 1

A:

Q: a) Só xv4 - x2 dx

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: d (coth x)= dx

A:

Q: S cot54x dx

A: ∫cot5(4x) dx Lets apply u- substitution method let u=4xdu=4 dxdx=du4 ∫cot5(4x) dx∫cot5(u)…

Q: (1 — х")dx

A: Use the formula below to perform the integration.  ∫xndx=xn+1n+1+C

Q: 1. dx =

A: Given: To Find: To evaluate the given integration using partial fraction.

Q: 5x e°* dx

A: Given integration ∫e5x dx Use the integration formula, ∫eax dx=eaxa+C ∫e5x dx=e5x5+C Where C is a…

Q: 51. $ dx ах

A: Explanation of the answer is as follows

Q: S csc° 3x dx

A: This question is related to indefinite integration, we will we will solve it using given…

Q: 17. dx

A: Here we have to evaluate  16) 17)

Q: 1.15 L t + 4H t %3D -

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Q: Vã In ev dx

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Q: 'V8 + æ°dx

A: Let the indefinite integral be, ∫x28+x3dx Put x3=t. Then, differentiate on both sides gives,…

Q: 76 dx

A: Indefinite integral is given as  For the evaluating this we are using integral formula of xn as…

Q: 10 )dx

A:

Q: 24. dx

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.