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Find: (a) int13e^(x)dx (d) int3e^(-(2x+7))dx (b) int(3e^(x)+(4)/(x))dx quad(x > 0) (e) int4xe^(x^(2)+3)dx (c) int(5e^(x)+(3)/(x^(2)))dx quad(x!=0) (f) int xe^(x^(2)!9)dx

22. Find:\newline(a) ∫13exdx \int 13 e^{x} d x \newline(d) ∫3e−(2x+7)dx \int 3 e^{-(2 x+7)} d x \newline(b) ∫(3ex+4x)dx(x>0) \int\left(3 e^{x}+\frac{4}{x}\right) d x \quad(x>0) \newline(e) ∫4xex2+3dx \int 4 x e^{x^{2}+3} d x \newline(c) ∫(5ex+3x2)dx(x≠0) \int\left(5 e^{x}+\frac{3}{x^{2}}\right) d x \quad(x \neq 0) \newline(f) ∫xex2!9dx \int x e^{x^{2}!9} d x

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Evaluate definite integrals using the chain ruleright chevron icon

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Q. 22. Find:\newline(a) ∫13exdx \int 13 e^{x} d x \newline(d) ∫3e−(2x+7)dx \int 3 e^{-(2 x+7)} d x \newline(b) ∫(3ex+4x)dx(x>0) \int\left(3 e^{x}+\frac{4}{x}\right) d x \quad(x>0) \newline(e) ∫4xex2+3dx \int 4 x e^{x^{2}+3} d x \newline(c) ∫(5ex+3x2)dx(x≠0) \int\left(5 e^{x}+\frac{3}{x^{2}}\right) d x \quad(x \neq 0) \newline(f) ∫xex2!9dx \int x e^{x^{2}!9} d x
  1. Exponential Integration: Integrate 13ex13e^{x} with respect to xx.
  2. Exponential Integration: Integrate 3e−(2x+7)3e^{-(2x+7)} with respect to xx.
  3. Exponential Integration: Integrate 3ex+4x3e^x + \frac{4}{x}, x>0x > 0.
  4. Exponential Integration: Integrate 4xe(x2+3)4xe^{(x^2+3)} with respect to xx.
  5. Exponential Integration: Integrate 5ex+3x25e^x + \frac{3}{x^2}, x≠0x \neq 0.
  6. Exponential Integration: Integrate xe(x2!9)xe^{(x^2!9)} with respect to xx.

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