Home
Class 12
MATHS
int (1+ x^(2) )^(2) cos x dx....

`int (1+ x^(2) )^(2) cos x dx`.

Text Solution

Verified by Experts

The correct Answer is:
`(x^(4) - 10x^(2) + 21) sin x + x (4x^(2) -20) cos x+ C`.
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRALS, BASIC METHODS OF INTEGRATION

    IA MARON|Exercise 4.4. Reduction Formulas|2 Videos

  • INDEFINITE INTEGRALS, BASIC METHODS OF INTEGRATION

    IA MARON|Exercise 4.2. Integration by Substitution|22 Videos

  • IMPROPER INTEGRALS

    IA MARON|Exercise 8.4 ADDITIONAL PROBLEMS|1 Videos

  • INTRODUCTION OF MATHEMATICAL ANALYSIS

    IA MARON|Exercise Additional Problems|34 Videos

Similar Questions

Explore conceptually related problems

int (1) / (sin ^ (2) x + cos ^ (2) x) dx

int ((1) / (sin ^ (2) x cos ^ (2) x)) dx

Evaluate the following integrals: int (1)/(sin^(2)x cos^(2)x) dx

int (1)/(sin^(2) x cos^(2)x) dx=?

int(1+cos^(2)x)/(1-cos2x)*dx

int(1+cos^(2)x)/(1-cos2x)dx=

Evaluate : (i) int((4-5 cosx)/(sin^(2)x))dx , (ii) int((1-cos2x)/(1+cos2x)) dx (iii) int (1)/(sin^(2)x cos^(2)x) dx , (iv) int(cos2x)/(cos^(2)x sin^(2) x) dx

int_ (0) ^ ((pi) / (2)) (sin x) / (sin x + cos x) dx = int_ (0) ^ ((pi) / (2)) (cos x) / (sin x + cos x) dx = int_ (0) ^ ((pi) / (2)) (dx) / (1 + cot x) = int_ (0) ^ ((pi) / (2)) (dx) / ( 1 + time x) = (pi) / (4)

Evaluate int(1+cos^(2)x)/(1+cos 2x)dx

2int(1+cos^(2)x)/(1+cos2x)dx=