Question

Evaluate: $integral fraction numerator left parenthesis straight x plus 3 right parenthesis straight e to the power of straight x over denominator left parenthesis straight x plus 5 right parenthesis cubed end fraction dx$

Name: Wired Faculty - The Best Learning App
Rating: 4.6 (1864 reviews)

Solution

integral fraction numerator left parenthesis straight x plus 3 right parenthesis straight e to the power of straight x over denominator left parenthesis straight x plus 5 right parenthesis cubed end fraction dx space equals integral fraction numerator left parenthesis straight x plus 5 minus 2 right parenthesis straight e to the power of straight x over denominator left parenthesis straight x plus 5 right parenthesis end fraction dx equals integral open square brackets fraction numerator left parenthesis straight x plus 5 right parenthesis over denominator left parenthesis straight x plus 5 right parenthesis cubed end fraction minus fraction numerator 2 over denominator left parenthesis straight x plus 5 right parenthesis cubed end fraction close square brackets straight e to the power of straight x dx space equals integral open square brackets fraction numerator 1 over denominator left parenthesis straight x plus 5 right parenthesis squared end fraction minus fraction numerator 2 over denominator left parenthesis straight x plus 5 right parenthesis cubed end fraction close square brackets straight e to the power of straight x dx space This space is space of space the space form space integral straight e to the power of straight x left square bracket straight f left parenthesis straight x right parenthesis plus straight f apostrophe left parenthesis straight x right parenthesis right square bracket dx space equals space straight e to the power of straight x straight f left parenthesis straight x right parenthesis plus straight C space space rightwards double arrow space space space integral open square brackets fraction numerator 1 over denominator left parenthesis straight x plus 5 right parenthesis squared end fraction minus fraction numerator 2 over denominator left parenthesis straight x plus 5 right parenthesis cubed end fraction close square brackets straight e to the power of straight x dx space space space space space equals space fraction numerator straight e to the power of straight x over denominator left parenthesis straight x plus 5 right parenthesis squared end fraction plus straight C

For Daily Free Study Material Join wiredfaculty

Integrals

Evaluate: $integral fraction numerator left parenthesis straight x plus 3 right parenthesis straight e to the power of straight x over denominator left parenthesis straight x plus 5 right parenthesis cubed end fraction dx$

Some More Questions From Integrals Chapter

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Phone Number

Email Address

Loaction