UrbanPro
true

Take Engineering Diploma Tuition from the Best Tutors

  • Affordable fees
  • 1-1 or Group class
  • Flexible Timings
  • Verified Tutors

Search in

Solution to a integration problem

B.Sudhakar
31/01/2017 0 0

∫ x^4 / ( x² + 1 ) dx

As the degree of numerator is higher than that of the denominator, let's divide x^4 by ( x² + 1 ).

= ∫ x² - 1 + 1/(x² + 1 ) dx 

= ∫ x² dx - ∫1•dx + 1/ ( 1 + x² ) dx  

= [ ( x³ / 3 ) - ( x )  + tan‾1 ( x ) + C ]

0 Dislike
Follow 0

Please Enter a comment

Submit

Other Lessons for You

Solution to a problem requested by one student
Prove d/dx cos x = - sin x from first principles d/dx cos x = lim δx→0 = lim δx →0 . = - 2 = lim δx →0 (- 2 ) / δx = lim δx →0 (- 2 ) / δx =...

Integration by trig substitution
Let's use trig substitution to solve a problem. ∫ x² / (√ 1 - x²) dx Let x = sin θ. dx = cos θ dθ. Substituting ∫ sin² θ cos θ /...

Problem on limits
Find lim x→0 ( sin 4x )/( x ) To use standard trig formula on limits, lim x→0 (sin x )/( x ) = 1 let us multiply numerator and denominator by 4. = lim x→0 ( sin 4x ) • ( 4 ) /...

L' HOPITAL rule in solving limit problems.
L'HOPITAL rule : Applicable to all limit problems wherein both numerator and denominator becomes either '0' or '∞' like 0/0 or ∞/∞ after substituting limiting value. As per this method,...

Proof of trig double angle formula tan ( 2A )
Now tan ( A + B ) = tan A + tan B/1— tan A tan B Put B = A = tan ( A + A ) = tan ( 2A )= tan A + tan A / 1 — tan A tan A = 2 tan A / 1 — tan² A ∴ tan (2A)= 2 tan A / (1 — tan² A)
X

Looking for Engineering Diploma Tuition Classes?

The best tutors for Engineering Diploma Tuition Classes are on UrbanPro

  • Select the best Tutor
  • Book & Attend a Free Demo
  • Pay and start Learning

Take Engineering Diploma Tuition with the Best Tutors

The best Tutors for Engineering Diploma Tuition Classes are on UrbanPro

This website uses cookies

We use cookies to improve user experience. Choose what cookies you allow us to use. You can read more about our Cookie Policy in our Privacy Policy

Accept All
Decline All

UrbanPro.com is India's largest network of most trusted tutors and institutes. Over 55 lakh students rely on UrbanPro.com, to fulfill their learning requirements across 1,000+ categories. Using UrbanPro.com, parents, and students can compare multiple Tutors and Institutes and choose the one that best suits their requirements. More than 7.5 lakh verified Tutors and Institutes are helping millions of students every day and growing their tutoring business on UrbanPro.com. Whether you are looking for a tutor to learn mathematics, a German language trainer to brush up your German language skills or an institute to upgrade your IT skills, we have got the best selection of Tutors and Training Institutes for you. Read more